TSTP Solution File: ALG123+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG123+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 15:35:14 EDT 2022
% Result : Theorem 5.88s 1.93s
% Output : Proof 10.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG123+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 11:07:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.50/0.57 ____ _
% 0.50/0.57 ___ / __ \_____(_)___ ________ __________
% 0.50/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.50/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.50/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.50/0.57
% 0.50/0.57 A Theorem Prover for First-Order Logic
% 0.50/0.57 (ePrincess v.1.0)
% 0.50/0.57
% 0.50/0.58 (c) Philipp Rümmer, 2009-2015
% 0.50/0.58 (c) Peter Backeman, 2014-2015
% 0.50/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.50/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.50/0.58 Bug reports to peter@backeman.se
% 0.50/0.58
% 0.50/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.50/0.58
% 0.50/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.50/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.79/1.18 Prover 0: Preprocessing ...
% 4.97/1.67 Prover 0: Constructing countermodel ...
% 5.88/1.93 Prover 0: proved (1302ms)
% 5.88/1.93
% 5.88/1.93 No countermodel exists, formula is valid
% 5.88/1.93 % SZS status Theorem for theBenchmark
% 5.88/1.93
% 5.88/1.93 Generating proof ... found it (size 467)
% 9.53/2.77
% 9.53/2.77 % SZS output start Proof for theBenchmark
% 9.53/2.77 Assumed formulas after preprocessing and simplification:
% 9.53/2.77 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : ? [v48] : ? [v49] : ? [v50] : ? [v51] : ? [v52] : ? [v53] : ? [v54] : ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : ? [v66] : ? [v67] : ? [v68] : ? [v69] : ? [v70] : ? [v71] : ? [v72] : ? [v73] : ? [v74] : ? [v75] : ? [v76] : ? [v77] : ? [v78] : ? [v79] : ? [v80] : ? [v81] : ? [v82] : ? [v83] : ? [v84] : ? [v85] : ? [v86] : ? [v87] : ? [v88] : ? [v89] : ? [v90] : ? [v91] : ? [v92] : ? [v93] : ? [v94] : ? [v95] : ? [v96] : ? [v97] : ? [v98] : ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : ? [v104] : ( ~ (v17 = v16) & ~ (v17 = v15) & ~ (v17 = v13) & ~ (v17 = e23) & ~ (v17 = e20) & ~ (v16 = v12) & ~ (v16 = v10) & ~ (v16 = e23) & ~ (v16 = e20) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = e23) & ~ (v15 = e21) & ~ (v14 = v11) & ~ (v14 = v9) & ~ (v14 = e23) & ~ (v14 = e21) & ~ (v13 = v12) & ~ (v13 = v11) & ~ (v13 = e23) & ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = e23) & ~ (v11 = v9) & ~ (v11 = e23) & ~ (v10 = v9) & ~ (v10 = e23) & ~ (v10 = e22) & ~ (v9 = e23) & ~ (v9 = e22) & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v4) & ~ (v8 = e13) & ~ (v8 = e10) & ~ (v7 = v3) & ~ (v7 = v1) & ~ (v7 = e13) & ~ (v7 = e10) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = e13) & ~ (v6 = e11) & ~ (v5 = v2) & ~ (v5 = v0) & ~ (v5 = e13) & ~ (v5 = e11) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = e13) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = e13) & ~ (v2 = v0) & ~ (v2 = e13) & ~ (v1 = v0) & ~ (v1 = e13) & ~ (v1 = e12) & ~ (v0 = e13) & ~ (v0 = e12) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(e13, e13) = e10 & op1(e13, e12) = v8 & op1(e13, e11) = v7 & op1(e13, e10) = e13 & op1(e12, e13) = e11 & op1(e12, e12) = v6 & op1(e12, e11) = e13 & op1(e12, e10) = v5 & op1(e11, e13) = e13 & op1(e11, e12) = v4 & op1(e11, e11) = v3 & op1(e11, e10) = v2 & op1(e10, e13) = e12 & op1(e10, e12) = e13 & op1(e10, e11) = v1 & op1(e10, e10) = v0 & h1(v8) = v46 & h1(v7) = v44 & h1(v6) = v40 & h1(v5) = v37 & h1(v4) = v34 & h1(v3) = v32 & h1(v2) = v30 & h1(v1) = v26 & h1(v0) = v24 & h1(e13) = e20 & h1(e12) = v19 & h1(e11) = v18 & h1(e10) = v9 & h2(v8) = v70 & h2(v7) = v68 & h2(v6) = v64 & h2(v5) = v61 & h2(v4) = v58 & h2(v3) = v56 & h2(v2) = v54 & h2(v1) = v50 & h2(v0) = v48 & h2(e13) = e21 & h2(e12) = v21 & h2(e11) = v20 & h2(e10) = v12 & h3(v8) = v94 & h3(v7) = v92 & h3(v6) = v88 & h3(v5) = v85 & h3(v4) = v82 & h3(v3) = v80 & h3(v2) = v78 & h3(v1) = v74 & h3(v0) = v72 & h3(e13) = e22 & h3(e12) = v23 & h3(e11) = v22 & h3(e10) = v15 & h4(v8) = v104 & h4(v7) = v103 & h4(v6) = v102 & h4(v5) = v101 & h4(v4) = v100 & h4(v3) = v99 & h4(v2) = v98 & h4(v1) = v97 & h4(v0) = v96 & h4(e13) = e23 & h4(e12) = e22 & h4(e11) = e21 & h4(e10) = e20 & op2(v23, v23) = v89 & op2(v23, v22) = v87 & op2(v23, v15) = v86 & op2(v23, e22) = v90 & op2(v23, e22) = v22 & op2(v22, v23) = v83 & op2(v22, v22) = v81 & op2(v22, v15) = v79 & op2(v22, e22) = v84 & op2(v21, v21) = v65 & op2(v21, v20) = v63 & op2(v21, v12) = v62 & op2(v21, e21) = v66 & op2(v21, e21) = v20 & op2(v20, v21) = v59 & op2(v20, v20) = v57 & op2(v20, v12) = v55 & op2(v20, e21) = v60 & op2(v19, v19) = v41 & op2(v19, v18) = v39 & op2(v19, v9) = v38 & op2(v19, e20) = v42 & op2(v19, e20) = v18 & op2(v18, v19) = v35 & op2(v18, v18) = v33 & op2(v18, v9) = v31 & op2(v18, e20) = v36 & op2(v15, v23) = v76 & op2(v15, v22) = v75 & op2(v15, v15) = v73 & op2(v15, e22) = v77 & op2(v15, e22) = v23 & op2(v12, v21) = v52 & op2(v12, v20) = v51 & op2(v12, v12) = v49 & op2(v12, e21) = v53 & op2(v12, e21) = v21 & op2(v9, v19) = v28 & op2(v9, v18) = v27 & op2(v9, v9) = v25 & op2(v9, e20) = v29 & op2(v9, e20) = v19 & op2(e23, e23) = e20 & op2(e23, e22) = v17 & op2(e23, e21) = v16 & op2(e23, e20) = e23 & op2(e22, v23) = v95 & op2(e22, v22) = v93 & op2(e22, v15) = v91 & op2(e22, e23) = e21 & op2(e22, e22) = v15 & op2(e22, e21) = e23 & op2(e22, e20) = v14 & op2(e21, v21) = v71 & op2(e21, v20) = v69 & op2(e21, v12) = v67 & op2(e21, e23) = e23 & op2(e21, e22) = v13 & op2(e21, e21) = v12 & op2(e21, e20) = v11 & op2(e20, v19) = v47 & op2(e20, v18) = v45 & op2(e20, v9) = v43 & op2(e20, e23) = e22 & op2(e20, e22) = e23 & op2(e20, e21) = v10 & op2(e20, e20) = v9 & ! [v105] : ! [v106] : ! [v107] : ! [v108] : (v106 = v105 | ~ (op1(v108, v107) = v106) | ~ (op1(v108, v107) = v105)) & ! [v105] : ! [v106] : ! [v107] : ! [v108] : (v106 = v105 | ~ (op2(v108, v107) = v106) | ~ (op2(v108, v107) = v105)) & ! [v105] : ! [v106] : ! [v107] : (v106 = v105 | ~ (h1(v107) = v106) | ~ (h1(v107) = v105)) & ! [v105] : ! [v106] : ! [v107] : (v106 = v105 | ~ (h2(v107) = v106) | ~ (h2(v107) = v105)) & ! [v105] : ! [v106] : ! [v107] : (v106 = v105 | ~ (h3(v107) = v106) | ~ (h3(v107) = v105)) & ! [v105] : ! [v106] : ! [v107] : (v106 = v105 | ~ (h4(v107) = v106) | ~ (h4(v107) = v105)) & ( ~ (v104 = v17) | ~ (v103 = v16) | ~ (v102 = v15) | ~ (v101 = v14) | ~ (v100 = v13) | ~ (v99 = v12) | ~ (v98 = v11) | ~ (v97 = v10) | ~ (v96 = v9)) & ( ~ (v95 = v94) | ~ (v93 = v92) | ~ (v91 = e22) | ~ (v90 = v22) | ~ (v89 = v88) | ~ (v87 = e22) | ~ (v86 = v85) | ~ (v84 = e22) | ~ (v83 = v82) | ~ (v81 = v80) | ~ (v79 = v78) | ~ (v77 = v23) | ~ (v76 = e22) | ~ (v75 = v74) | ~ (v73 = v72) | ( ~ (v23 = e23) & ~ (v22 = e23)) | ( ~ (v23 = e21) & ~ (v22 = e21)) | ( ~ (v23 = e20) & ~ (v22 = e20) & ~ (v15 = e20))) & ( ~ (v71 = v70) | ~ (v69 = v68) | ~ (v67 = e21) | ~ (v66 = v20) | ~ (v65 = v64) | ~ (v63 = e21) | ~ (v62 = v61) | ~ (v60 = e21) | ~ (v59 = v58) | ~ (v57 = v56) | ~ (v55 = v54) | ~ (v53 = v21) | ~ (v52 = e21) | ~ (v51 = v50) | ~ (v49 = v48) | ( ~ (v21 = e23) & ~ (v20 = e23)) | ( ~ (v21 = e22) & ~ (v20 = e22) & ~ (v12 = e22)) | ( ~ (v21 = e20) & ~ (v20 = e20) & ~ (v12 = e20))) & ( ~ (v47 = v46) | ~ (v45 = v44) | ~ (v43 = e20) | ~ (v42 = v18) | ~ (v41 = v40) | ~ (v39 = e20) | ~ (v38 = v37) | ~ (v36 = e20) | ~ (v35 = v34) | ~ (v33 = v32) | ~ (v31 = v30) | ~ (v29 = v19) | ~ (v28 = e20) | ~ (v27 = v26) | ~ (v25 = v24) | ( ~ (v19 = e23) & ~ (v18 = e23)) | ( ~ (v19 = e22) & ~ (v18 = e22)) | ( ~ (v19 = e21) & ~ (v18 = e21) & ~ (v9 = e21))) & ( ~ (v15 = e20) | v14 = e22) & ( ~ (v12 = e22) | v13 = e21) & ( ~ (v12 = e20) | v11 = e21) & ( ~ (v9 = e21) | v10 = e20) & ( ~ (v6 = e10) | v5 = e12) & ( ~ (v3 = e12) | v4 = e11) & ( ~ (v3 = e10) | v2 = e11) & ( ~ (v0 = e11) | v1 = e10) & (v17 = e22 | v17 = e21) & (v17 = e22 | v16 = e22) & (v17 = e22 | v16 = e21 | (v14 = e20 & ~ (v15 = e22) & ( ~ (v13 = e21) | ~ (v12 = e22))) | (v13 = e22 & ~ (v12 = e21) & ( ~ (v10 = e20) | ~ (v9 = e21))) | (v11 = e20 & ~ (v12 = e21) & ( ~ (v10 = e20) | ~ (v9 = e21))) | ( ~ (v12 = e21) & ( ~ (v10 = e20) | ~ (v9 = e21)))) & (v17 = e22 | v15 = e22 | v13 = e22) & (v17 = e21 | v16 = e21) & (v17 = e21 | v13 = e21) & (v16 = e22 | v16 = e21) & (v16 = e22 | v12 = e22) & (v16 = e21 | v12 = e21 | v10 = e21) & (v15 = e22 | v15 = e20) & (v15 = e22 | v14 = e22) & (v15 = e22 | v12 = e21 | v9 = e20) & (v15 = e20 | v14 = e20) & (v15 = e20 | v13 = e20) & (v14 = e22 | v14 = e20) & (v14 = e22 | v11 = e22) & (v14 = e20 | v11 = e20 | v9 = e20) & (v13 = e22 | v13 = e21 | v13 = e20) & (v13 = e22 | v12 = e22 | v11 = e22) & (v13 = e21 | v12 = e21 | v11 = e21) & (v13 = e20 | v12 = e20 | v11 = e20) & (v12 = e22 | v12 = e21 | v12 = e20) & (v12 = e20 | v10 = e20) & (v11 = e22 | v11 = e21 | v11 = e20) & (v11 = e21 | v9 = e21) & (v10 = e21 | v10 = e20) & (v10 = e21 | v9 = e21) & (v10 = e20 | v9 = e20) & (v9 = e21 | v9 = e20) & (v8 = e12 | v8 = e11) & (v8 = e12 | v7 = e12) & (v8 = e12 | v7 = e11 | (v5 = e10 & ~ (v6 = e12) & ( ~ (v4 = e11) | ~ (v3 = e12))) | (v4 = e12 & ~ (v3 = e11) & ( ~ (v1 = e10) | ~ (v0 = e11))) | (v2 = e10 & ~ (v3 = e11) & ( ~ (v1 = e10) | ~ (v0 = e11))) | ( ~ (v3 = e11) & ( ~ (v1 = e10) | ~ (v0 = e11)))) & (v8 = e12 | v6 = e12 | v4 = e12) & (v8 = e11 | v7 = e11) & (v8 = e11 | v4 = e11) & (v7 = e12 | v7 = e11) & (v7 = e12 | v3 = e12) & (v7 = e11 | v3 = e11 | v1 = e11) & (v6 = e12 | v6 = e10) & (v6 = e12 | v5 = e12) & (v6 = e12 | v3 = e11 | v0 = e10) & (v6 = e10 | v5 = e10) & (v6 = e10 | v4 = e10) & (v5 = e12 | v5 = e10) & (v5 = e12 | v2 = e12) & (v5 = e10 | v2 = e10 | v0 = e10) & (v4 = e12 | v4 = e11 | v4 = e10) & (v4 = e12 | v3 = e12 | v2 = e12) & (v4 = e11 | v3 = e11 | v2 = e11) & (v4 = e10 | v3 = e10 | v2 = e10) & (v3 = e12 | v3 = e11 | v3 = e10) & (v3 = e10 | v1 = e10) & (v2 = e12 | v2 = e11 | v2 = e10) & (v2 = e11 | v0 = e11) & (v1 = e11 | v1 = e10) & (v1 = e11 | v0 = e11) & (v1 = e10 | v0 = e10) & (v0 = e11 | v0 = e10))
% 9.81/2.83 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44, all_0_45_45, all_0_46_46, all_0_47_47, all_0_48_48, all_0_49_49, all_0_50_50, all_0_51_51, all_0_52_52, all_0_53_53, all_0_54_54, all_0_55_55, all_0_56_56, all_0_57_57, all_0_58_58, all_0_59_59, all_0_60_60, all_0_61_61, all_0_62_62, all_0_63_63, all_0_64_64, all_0_65_65, all_0_66_66, all_0_67_67, all_0_68_68, all_0_69_69, all_0_70_70, all_0_71_71, all_0_72_72, all_0_73_73, all_0_74_74, all_0_75_75, all_0_76_76, all_0_77_77, all_0_78_78, all_0_79_79, all_0_80_80, all_0_81_81, all_0_82_82, all_0_83_83, all_0_84_84, all_0_85_85, all_0_86_86, all_0_87_87, all_0_88_88, all_0_89_89, all_0_90_90, all_0_91_91, all_0_92_92, all_0_93_93, all_0_94_94, all_0_95_95, all_0_96_96, all_0_97_97, all_0_98_98, all_0_99_99, all_0_100_100, all_0_101_101, all_0_102_102, all_0_103_103, all_0_104_104 yields:
% 9.81/2.83 | (1) ~ (all_0_87_87 = all_0_88_88) & ~ (all_0_87_87 = all_0_89_89) & ~ (all_0_87_87 = all_0_91_91) & ~ (all_0_87_87 = e23) & ~ (all_0_87_87 = e20) & ~ (all_0_88_88 = all_0_92_92) & ~ (all_0_88_88 = all_0_94_94) & ~ (all_0_88_88 = e23) & ~ (all_0_88_88 = e20) & ~ (all_0_89_89 = all_0_90_90) & ~ (all_0_89_89 = all_0_91_91) & ~ (all_0_89_89 = e23) & ~ (all_0_89_89 = e21) & ~ (all_0_90_90 = all_0_93_93) & ~ (all_0_90_90 = all_0_95_95) & ~ (all_0_90_90 = e23) & ~ (all_0_90_90 = e21) & ~ (all_0_91_91 = all_0_92_92) & ~ (all_0_91_91 = all_0_93_93) & ~ (all_0_91_91 = e23) & ~ (all_0_92_92 = all_0_93_93) & ~ (all_0_92_92 = all_0_94_94) & ~ (all_0_92_92 = e23) & ~ (all_0_93_93 = all_0_95_95) & ~ (all_0_93_93 = e23) & ~ (all_0_94_94 = all_0_95_95) & ~ (all_0_94_94 = e23) & ~ (all_0_94_94 = e22) & ~ (all_0_95_95 = e23) & ~ (all_0_95_95 = e22) & ~ (all_0_96_96 = all_0_97_97) & ~ (all_0_96_96 = all_0_98_98) & ~ (all_0_96_96 = all_0_100_100) & ~ (all_0_96_96 = e13) & ~ (all_0_96_96 = e10) & ~ (all_0_97_97 = all_0_101_101) & ~ (all_0_97_97 = all_0_103_103) & ~ (all_0_97_97 = e13) & ~ (all_0_97_97 = e10) & ~ (all_0_98_98 = all_0_99_99) & ~ (all_0_98_98 = all_0_100_100) & ~ (all_0_98_98 = e13) & ~ (all_0_98_98 = e11) & ~ (all_0_99_99 = all_0_102_102) & ~ (all_0_99_99 = all_0_104_104) & ~ (all_0_99_99 = e13) & ~ (all_0_99_99 = e11) & ~ (all_0_100_100 = all_0_101_101) & ~ (all_0_100_100 = all_0_102_102) & ~ (all_0_100_100 = e13) & ~ (all_0_101_101 = all_0_102_102) & ~ (all_0_101_101 = all_0_103_103) & ~ (all_0_101_101 = e13) & ~ (all_0_102_102 = all_0_104_104) & ~ (all_0_102_102 = e13) & ~ (all_0_103_103 = all_0_104_104) & ~ (all_0_103_103 = e13) & ~ (all_0_103_103 = e12) & ~ (all_0_104_104 = e13) & ~ (all_0_104_104 = e12) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(e13, e13) = e10 & op1(e13, e12) = all_0_96_96 & op1(e13, e11) = all_0_97_97 & op1(e13, e10) = e13 & op1(e12, e13) = e11 & op1(e12, e12) = all_0_98_98 & op1(e12, e11) = e13 & op1(e12, e10) = all_0_99_99 & op1(e11, e13) = e13 & op1(e11, e12) = all_0_100_100 & op1(e11, e11) = all_0_101_101 & op1(e11, e10) = all_0_102_102 & op1(e10, e13) = e12 & op1(e10, e12) = e13 & op1(e10, e11) = all_0_103_103 & op1(e10, e10) = all_0_104_104 & h1(all_0_96_96) = all_0_58_58 & h1(all_0_97_97) = all_0_60_60 & h1(all_0_98_98) = all_0_64_64 & h1(all_0_99_99) = all_0_67_67 & h1(all_0_100_100) = all_0_70_70 & h1(all_0_101_101) = all_0_72_72 & h1(all_0_102_102) = all_0_74_74 & h1(all_0_103_103) = all_0_78_78 & h1(all_0_104_104) = all_0_80_80 & h1(e13) = e20 & h1(e12) = all_0_85_85 & h1(e11) = all_0_86_86 & h1(e10) = all_0_95_95 & h2(all_0_96_96) = all_0_34_34 & h2(all_0_97_97) = all_0_36_36 & h2(all_0_98_98) = all_0_40_40 & h2(all_0_99_99) = all_0_43_43 & h2(all_0_100_100) = all_0_46_46 & h2(all_0_101_101) = all_0_48_48 & h2(all_0_102_102) = all_0_50_50 & h2(all_0_103_103) = all_0_54_54 & h2(all_0_104_104) = all_0_56_56 & h2(e13) = e21 & h2(e12) = all_0_83_83 & h2(e11) = all_0_84_84 & h2(e10) = all_0_92_92 & h3(all_0_96_96) = all_0_10_10 & h3(all_0_97_97) = all_0_12_12 & h3(all_0_98_98) = all_0_16_16 & h3(all_0_99_99) = all_0_19_19 & h3(all_0_100_100) = all_0_22_22 & h3(all_0_101_101) = all_0_24_24 & h3(all_0_102_102) = all_0_26_26 & h3(all_0_103_103) = all_0_30_30 & h3(all_0_104_104) = all_0_32_32 & h3(e13) = e22 & h3(e12) = all_0_81_81 & h3(e11) = all_0_82_82 & h3(e10) = all_0_89_89 & h4(all_0_96_96) = all_0_0_0 & h4(all_0_97_97) = all_0_1_1 & h4(all_0_98_98) = all_0_2_2 & h4(all_0_99_99) = all_0_3_3 & h4(all_0_100_100) = all_0_4_4 & h4(all_0_101_101) = all_0_5_5 & h4(all_0_102_102) = all_0_6_6 & h4(all_0_103_103) = all_0_7_7 & h4(all_0_104_104) = all_0_8_8 & h4(e13) = e23 & h4(e12) = e22 & h4(e11) = e21 & h4(e10) = e20 & op2(all_0_81_81, all_0_81_81) = all_0_15_15 & op2(all_0_81_81, all_0_82_82) = all_0_17_17 & op2(all_0_81_81, all_0_89_89) = all_0_18_18 & op2(all_0_81_81, e22) = all_0_14_14 & op2(all_0_81_81, e22) = all_0_82_82 & op2(all_0_82_82, all_0_81_81) = all_0_21_21 & op2(all_0_82_82, all_0_82_82) = all_0_23_23 & op2(all_0_82_82, all_0_89_89) = all_0_25_25 & op2(all_0_82_82, e22) = all_0_20_20 & op2(all_0_83_83, all_0_83_83) = all_0_39_39 & op2(all_0_83_83, all_0_84_84) = all_0_41_41 & op2(all_0_83_83, all_0_92_92) = all_0_42_42 & op2(all_0_83_83, e21) = all_0_38_38 & op2(all_0_83_83, e21) = all_0_84_84 & op2(all_0_84_84, all_0_83_83) = all_0_45_45 & op2(all_0_84_84, all_0_84_84) = all_0_47_47 & op2(all_0_84_84, all_0_92_92) = all_0_49_49 & op2(all_0_84_84, e21) = all_0_44_44 & op2(all_0_85_85, all_0_85_85) = all_0_63_63 & op2(all_0_85_85, all_0_86_86) = all_0_65_65 & op2(all_0_85_85, all_0_95_95) = all_0_66_66 & op2(all_0_85_85, e20) = all_0_62_62 & op2(all_0_85_85, e20) = all_0_86_86 & op2(all_0_86_86, all_0_85_85) = all_0_69_69 & op2(all_0_86_86, all_0_86_86) = all_0_71_71 & op2(all_0_86_86, all_0_95_95) = all_0_73_73 & op2(all_0_86_86, e20) = all_0_68_68 & op2(all_0_89_89, all_0_81_81) = all_0_28_28 & op2(all_0_89_89, all_0_82_82) = all_0_29_29 & op2(all_0_89_89, all_0_89_89) = all_0_31_31 & op2(all_0_89_89, e22) = all_0_27_27 & op2(all_0_89_89, e22) = all_0_81_81 & op2(all_0_92_92, all_0_83_83) = all_0_52_52 & op2(all_0_92_92, all_0_84_84) = all_0_53_53 & op2(all_0_92_92, all_0_92_92) = all_0_55_55 & op2(all_0_92_92, e21) = all_0_51_51 & op2(all_0_92_92, e21) = all_0_83_83 & op2(all_0_95_95, all_0_85_85) = all_0_76_76 & op2(all_0_95_95, all_0_86_86) = all_0_77_77 & op2(all_0_95_95, all_0_95_95) = all_0_79_79 & op2(all_0_95_95, e20) = all_0_75_75 & op2(all_0_95_95, e20) = all_0_85_85 & op2(e23, e23) = e20 & op2(e23, e22) = all_0_87_87 & op2(e23, e21) = all_0_88_88 & op2(e23, e20) = e23 & op2(e22, all_0_81_81) = all_0_9_9 & op2(e22, all_0_82_82) = all_0_11_11 & op2(e22, all_0_89_89) = all_0_13_13 & op2(e22, e23) = e21 & op2(e22, e22) = all_0_89_89 & op2(e22, e21) = e23 & op2(e22, e20) = all_0_90_90 & op2(e21, all_0_83_83) = all_0_33_33 & op2(e21, all_0_84_84) = all_0_35_35 & op2(e21, all_0_92_92) = all_0_37_37 & op2(e21, e23) = e23 & op2(e21, e22) = all_0_91_91 & op2(e21, e21) = all_0_92_92 & op2(e21, e20) = all_0_93_93 & op2(e20, all_0_85_85) = all_0_57_57 & op2(e20, all_0_86_86) = all_0_59_59 & op2(e20, all_0_95_95) = all_0_61_61 & op2(e20, e23) = e22 & op2(e20, e22) = e23 & op2(e20, e21) = all_0_94_94 & op2(e20, e20) = all_0_95_95 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0)) & ( ~ (all_0_0_0 = all_0_87_87) | ~ (all_0_1_1 = all_0_88_88) | ~ (all_0_2_2 = all_0_89_89) | ~ (all_0_3_3 = all_0_90_90) | ~ (all_0_4_4 = all_0_91_91) | ~ (all_0_5_5 = all_0_92_92) | ~ (all_0_6_6 = all_0_93_93) | ~ (all_0_7_7 = all_0_94_94) | ~ (all_0_8_8 = all_0_95_95)) & ( ~ (all_0_9_9 = all_0_10_10) | ~ (all_0_11_11 = all_0_12_12) | ~ (all_0_13_13 = e22) | ~ (all_0_14_14 = all_0_82_82) | ~ (all_0_15_15 = all_0_16_16) | ~ (all_0_17_17 = e22) | ~ (all_0_18_18 = all_0_19_19) | ~ (all_0_20_20 = e22) | ~ (all_0_21_21 = all_0_22_22) | ~ (all_0_23_23 = all_0_24_24) | ~ (all_0_25_25 = all_0_26_26) | ~ (all_0_27_27 = all_0_81_81) | ~ (all_0_28_28 = e22) | ~ (all_0_29_29 = all_0_30_30) | ~ (all_0_31_31 = all_0_32_32) | ( ~ (all_0_81_81 = e23) & ~ (all_0_82_82 = e23)) | ( ~ (all_0_81_81 = e21) & ~ (all_0_82_82 = e21)) | ( ~ (all_0_81_81 = e20) & ~ (all_0_82_82 = e20) & ~ (all_0_89_89 = e20))) & ( ~ (all_0_33_33 = all_0_34_34) | ~ (all_0_35_35 = all_0_36_36) | ~ (all_0_37_37 = e21) | ~ (all_0_38_38 = all_0_84_84) | ~ (all_0_39_39 = all_0_40_40) | ~ (all_0_41_41 = e21) | ~ (all_0_42_42 = all_0_43_43) | ~ (all_0_44_44 = e21) | ~ (all_0_45_45 = all_0_46_46) | ~ (all_0_47_47 = all_0_48_48) | ~ (all_0_49_49 = all_0_50_50) | ~ (all_0_51_51 = all_0_83_83) | ~ (all_0_52_52 = e21) | ~ (all_0_53_53 = all_0_54_54) | ~ (all_0_55_55 = all_0_56_56) | ( ~ (all_0_83_83 = e23) & ~ (all_0_84_84 = e23)) | ( ~ (all_0_83_83 = e22) & ~ (all_0_84_84 = e22) & ~ (all_0_92_92 = e22)) | ( ~ (all_0_83_83 = e20) & ~ (all_0_84_84 = e20) & ~ (all_0_92_92 = e20))) & ( ~ (all_0_57_57 = all_0_58_58) | ~ (all_0_59_59 = all_0_60_60) | ~ (all_0_61_61 = e20) | ~ (all_0_62_62 = all_0_86_86) | ~ (all_0_63_63 = all_0_64_64) | ~ (all_0_65_65 = e20) | ~ (all_0_66_66 = all_0_67_67) | ~ (all_0_68_68 = e20) | ~ (all_0_69_69 = all_0_70_70) | ~ (all_0_71_71 = all_0_72_72) | ~ (all_0_73_73 = all_0_74_74) | ~ (all_0_75_75 = all_0_85_85) | ~ (all_0_76_76 = e20) | ~ (all_0_77_77 = all_0_78_78) | ~ (all_0_79_79 = all_0_80_80) | ( ~ (all_0_85_85 = e23) & ~ (all_0_86_86 = e23)) | ( ~ (all_0_85_85 = e22) & ~ (all_0_86_86 = e22)) | ( ~ (all_0_85_85 = e21) & ~ (all_0_86_86 = e21) & ~ (all_0_95_95 = e21))) & ( ~ (all_0_89_89 = e20) | all_0_90_90 = e22) & ( ~ (all_0_92_92 = e22) | all_0_91_91 = e21) & ( ~ (all_0_92_92 = e20) | all_0_93_93 = e21) & ( ~ (all_0_95_95 = e21) | all_0_94_94 = e20) & ( ~ (all_0_98_98 = e10) | all_0_99_99 = e12) & ( ~ (all_0_101_101 = e12) | all_0_100_100 = e11) & ( ~ (all_0_101_101 = e10) | all_0_102_102 = e11) & ( ~ (all_0_104_104 = e11) | all_0_103_103 = e10) & (all_0_87_87 = e22 | all_0_87_87 = e21) & (all_0_87_87 = e22 | all_0_88_88 = e22) & (all_0_87_87 = e22 | all_0_88_88 = e21 | (all_0_90_90 = e20 & ~ (all_0_89_89 = e22) & ( ~ (all_0_91_91 = e21) | ~ (all_0_92_92 = e22))) | (all_0_91_91 = e22 & ~ (all_0_92_92 = e21) & ( ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21))) | (all_0_93_93 = e20 & ~ (all_0_92_92 = e21) & ( ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21))) | ( ~ (all_0_92_92 = e21) & ( ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21)))) & (all_0_87_87 = e22 | all_0_89_89 = e22 | all_0_91_91 = e22) & (all_0_87_87 = e21 | all_0_88_88 = e21) & (all_0_87_87 = e21 | all_0_91_91 = e21) & (all_0_88_88 = e22 | all_0_88_88 = e21) & (all_0_88_88 = e22 | all_0_92_92 = e22) & (all_0_88_88 = e21 | all_0_92_92 = e21 | all_0_94_94 = e21) & (all_0_89_89 = e22 | all_0_89_89 = e20) & (all_0_89_89 = e22 | all_0_90_90 = e22) & (all_0_89_89 = e22 | all_0_92_92 = e21 | all_0_95_95 = e20) & (all_0_89_89 = e20 | all_0_90_90 = e20) & (all_0_89_89 = e20 | all_0_91_91 = e20) & (all_0_90_90 = e22 | all_0_90_90 = e20) & (all_0_90_90 = e22 | all_0_93_93 = e22) & (all_0_90_90 = e20 | all_0_93_93 = e20 | all_0_95_95 = e20) & (all_0_91_91 = e22 | all_0_91_91 = e21 | all_0_91_91 = e20) & (all_0_91_91 = e22 | all_0_92_92 = e22 | all_0_93_93 = e22) & (all_0_91_91 = e21 | all_0_92_92 = e21 | all_0_93_93 = e21) & (all_0_91_91 = e20 | all_0_92_92 = e20 | all_0_93_93 = e20) & (all_0_92_92 = e22 | all_0_92_92 = e21 | all_0_92_92 = e20) & (all_0_92_92 = e20 | all_0_94_94 = e20) & (all_0_93_93 = e22 | all_0_93_93 = e21 | all_0_93_93 = e20) & (all_0_93_93 = e21 | all_0_95_95 = e21) & (all_0_94_94 = e21 | all_0_94_94 = e20) & (all_0_94_94 = e21 | all_0_95_95 = e21) & (all_0_94_94 = e20 | all_0_95_95 = e20) & (all_0_95_95 = e21 | all_0_95_95 = e20) & (all_0_96_96 = e12 | all_0_96_96 = e11) & (all_0_96_96 = e12 | all_0_97_97 = e12) & (all_0_96_96 = e12 | all_0_97_97 = e11 | (all_0_99_99 = e10 & ~ (all_0_98_98 = e12) & ( ~ (all_0_100_100 = e11) | ~ (all_0_101_101 = e12))) | (all_0_100_100 = e12 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))) | (all_0_102_102 = e10 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))) | ( ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11)))) & (all_0_96_96 = e12 | all_0_98_98 = e12 | all_0_100_100 = e12) & (all_0_96_96 = e11 | all_0_97_97 = e11) & (all_0_96_96 = e11 | all_0_100_100 = e11) & (all_0_97_97 = e12 | all_0_97_97 = e11) & (all_0_97_97 = e12 | all_0_101_101 = e12) & (all_0_97_97 = e11 | all_0_101_101 = e11 | all_0_103_103 = e11) & (all_0_98_98 = e12 | all_0_98_98 = e10) & (all_0_98_98 = e12 | all_0_99_99 = e12) & (all_0_98_98 = e12 | all_0_101_101 = e11 | all_0_104_104 = e10) & (all_0_98_98 = e10 | all_0_99_99 = e10) & (all_0_98_98 = e10 | all_0_100_100 = e10) & (all_0_99_99 = e12 | all_0_99_99 = e10) & (all_0_99_99 = e12 | all_0_102_102 = e12) & (all_0_99_99 = e10 | all_0_102_102 = e10 | all_0_104_104 = e10) & (all_0_100_100 = e12 | all_0_100_100 = e11 | all_0_100_100 = e10) & (all_0_100_100 = e12 | all_0_101_101 = e12 | all_0_102_102 = e12) & (all_0_100_100 = e11 | all_0_101_101 = e11 | all_0_102_102 = e11) & (all_0_100_100 = e10 | all_0_101_101 = e10 | all_0_102_102 = e10) & (all_0_101_101 = e12 | all_0_101_101 = e11 | all_0_101_101 = e10) & (all_0_101_101 = e10 | all_0_103_103 = e10) & (all_0_102_102 = e12 | all_0_102_102 = e11 | all_0_102_102 = e10) & (all_0_102_102 = e11 | all_0_104_104 = e11) & (all_0_103_103 = e11 | all_0_103_103 = e10) & (all_0_103_103 = e11 | all_0_104_104 = e11) & (all_0_103_103 = e10 | all_0_104_104 = e10) & (all_0_104_104 = e11 | all_0_104_104 = e10)
% 9.81/2.85 |
% 9.81/2.85 | Applying alpha-rule on (1) yields:
% 9.81/2.85 | (2) op2(e21, e22) = all_0_91_91
% 9.81/2.85 | (3) ~ (all_0_101_101 = e13)
% 9.81/2.85 | (4) all_0_97_97 = e12 | all_0_101_101 = e12
% 9.81/2.85 | (5) h4(all_0_98_98) = all_0_2_2
% 9.81/2.85 | (6) h2(all_0_104_104) = all_0_56_56
% 9.81/2.86 | (7) op1(e10, e12) = e13
% 9.81/2.86 | (8) ~ (all_0_90_90 = e23)
% 9.81/2.86 | (9) op2(all_0_89_89, e22) = all_0_27_27
% 9.81/2.86 | (10) h2(e11) = all_0_84_84
% 9.81/2.86 | (11) op2(all_0_81_81, all_0_89_89) = all_0_18_18
% 9.81/2.86 | (12) all_0_91_91 = e22 | all_0_92_92 = e22 | all_0_93_93 = e22
% 9.81/2.86 | (13) ~ (all_0_87_87 = all_0_91_91)
% 9.81/2.86 | (14) all_0_87_87 = e22 | all_0_89_89 = e22 | all_0_91_91 = e22
% 9.81/2.86 | (15) all_0_91_91 = e20 | all_0_92_92 = e20 | all_0_93_93 = e20
% 9.81/2.86 | (16) ~ (all_0_92_92 = e20) | all_0_93_93 = e21
% 9.81/2.86 | (17) op2(all_0_83_83, e21) = all_0_84_84
% 9.81/2.86 | (18) ~ (all_0_93_93 = all_0_95_95)
% 9.81/2.86 | (19) all_0_88_88 = e22 | all_0_92_92 = e22
% 9.81/2.86 | (20) all_0_102_102 = e11 | all_0_104_104 = e11
% 9.81/2.86 | (21) op1(e13, e10) = e13
% 9.81/2.86 | (22) ~ (e23 = e22)
% 9.81/2.86 | (23) ~ (all_0_96_96 = e10)
% 9.81/2.86 | (24) h2(all_0_103_103) = all_0_54_54
% 9.81/2.86 | (25) op2(e22, all_0_82_82) = all_0_11_11
% 9.81/2.86 | (26) all_0_93_93 = e21 | all_0_95_95 = e21
% 9.81/2.86 | (27) all_0_103_103 = e11 | all_0_103_103 = e10
% 9.81/2.86 | (28) ~ (e21 = e10)
% 10.07/2.86 | (29) ~ (all_0_88_88 = all_0_92_92)
% 10.07/2.86 | (30) op2(e21, e21) = all_0_92_92
% 10.07/2.86 | (31) op2(e23, e20) = e23
% 10.07/2.86 | (32) ~ (all_0_0_0 = all_0_87_87) | ~ (all_0_1_1 = all_0_88_88) | ~ (all_0_2_2 = all_0_89_89) | ~ (all_0_3_3 = all_0_90_90) | ~ (all_0_4_4 = all_0_91_91) | ~ (all_0_5_5 = all_0_92_92) | ~ (all_0_6_6 = all_0_93_93) | ~ (all_0_7_7 = all_0_94_94) | ~ (all_0_8_8 = all_0_95_95)
% 10.07/2.86 | (33) all_0_93_93 = e22 | all_0_93_93 = e21 | all_0_93_93 = e20
% 10.07/2.86 | (34) all_0_89_89 = e22 | all_0_89_89 = e20
% 10.07/2.86 | (35) op2(all_0_86_86, all_0_85_85) = all_0_69_69
% 10.07/2.86 | (36) all_0_90_90 = e20 | all_0_93_93 = e20 | all_0_95_95 = e20
% 10.07/2.86 | (37) ~ (all_0_103_103 = e12)
% 10.07/2.86 | (38) ~ (all_0_87_87 = all_0_89_89)
% 10.07/2.86 | (39) ~ (all_0_98_98 = e10) | all_0_99_99 = e12
% 10.07/2.86 | (40) h3(all_0_97_97) = all_0_12_12
% 10.07/2.86 | (41) op2(all_0_85_85, all_0_95_95) = all_0_66_66
% 10.07/2.86 | (42) ~ (e22 = e11)
% 10.07/2.86 | (43) op2(all_0_83_83, all_0_84_84) = all_0_41_41
% 10.07/2.86 | (44) ~ (all_0_98_98 = all_0_99_99)
% 10.07/2.86 | (45) h2(all_0_101_101) = all_0_48_48
% 10.07/2.86 | (46) all_0_87_87 = e21 | all_0_91_91 = e21
% 10.07/2.86 | (47) op2(e23, e23) = e20
% 10.07/2.86 | (48) all_0_98_98 = e10 | all_0_99_99 = e10
% 10.07/2.86 | (49) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0))
% 10.07/2.86 | (50) all_0_96_96 = e12 | all_0_98_98 = e12 | all_0_100_100 = e12
% 10.07/2.86 | (51) op2(e20, e20) = all_0_95_95
% 10.07/2.86 | (52) all_0_96_96 = e12 | all_0_96_96 = e11
% 10.07/2.86 | (53) op2(all_0_92_92, e21) = all_0_83_83
% 10.07/2.86 | (54) all_0_94_94 = e20 | all_0_95_95 = e20
% 10.07/2.86 | (55) all_0_89_89 = e20 | all_0_91_91 = e20
% 10.07/2.86 | (56) ~ (all_0_94_94 = e23)
% 10.07/2.86 | (57) op1(e11, e11) = all_0_101_101
% 10.07/2.86 | (58) all_0_94_94 = e21 | all_0_94_94 = e20
% 10.07/2.86 | (59) op2(e20, all_0_95_95) = all_0_61_61
% 10.07/2.86 | (60) ~ (all_0_90_90 = all_0_93_93)
% 10.07/2.86 | (61) ~ (all_0_89_89 = all_0_90_90)
% 10.07/2.86 | (62) op2(all_0_85_85, all_0_86_86) = all_0_65_65
% 10.07/2.86 | (63) op2(all_0_82_82, all_0_89_89) = all_0_25_25
% 10.07/2.86 | (64) ~ (all_0_92_92 = all_0_93_93)
% 10.07/2.86 | (65) op2(all_0_86_86, all_0_86_86) = all_0_71_71
% 10.07/2.86 | (66) op2(all_0_81_81, e22) = all_0_82_82
% 10.07/2.86 | (67) op2(all_0_85_85, e20) = all_0_62_62
% 10.07/2.86 | (68) ~ (all_0_88_88 = all_0_94_94)
% 10.07/2.86 | (69) h1(all_0_98_98) = all_0_64_64
% 10.07/2.86 | (70) op2(e22, e21) = e23
% 10.07/2.86 | (71) op2(all_0_92_92, all_0_84_84) = all_0_53_53
% 10.07/2.86 | (72) ~ (all_0_33_33 = all_0_34_34) | ~ (all_0_35_35 = all_0_36_36) | ~ (all_0_37_37 = e21) | ~ (all_0_38_38 = all_0_84_84) | ~ (all_0_39_39 = all_0_40_40) | ~ (all_0_41_41 = e21) | ~ (all_0_42_42 = all_0_43_43) | ~ (all_0_44_44 = e21) | ~ (all_0_45_45 = all_0_46_46) | ~ (all_0_47_47 = all_0_48_48) | ~ (all_0_49_49 = all_0_50_50) | ~ (all_0_51_51 = all_0_83_83) | ~ (all_0_52_52 = e21) | ~ (all_0_53_53 = all_0_54_54) | ~ (all_0_55_55 = all_0_56_56) | ( ~ (all_0_83_83 = e23) & ~ (all_0_84_84 = e23)) | ( ~ (all_0_83_83 = e22) & ~ (all_0_84_84 = e22) & ~ (all_0_92_92 = e22)) | ( ~ (all_0_83_83 = e20) & ~ (all_0_84_84 = e20) & ~ (all_0_92_92 = e20))
% 10.07/2.87 | (73) ~ (all_0_96_96 = all_0_98_98)
% 10.07/2.87 | (74) all_0_98_98 = e12 | all_0_98_98 = e10
% 10.07/2.87 | (75) all_0_96_96 = e11 | all_0_97_97 = e11
% 10.07/2.87 | (76) op2(all_0_85_85, all_0_85_85) = all_0_63_63
% 10.07/2.87 | (77) op2(e23, e22) = all_0_87_87
% 10.07/2.87 | (78) op2(e20, e22) = e23
% 10.07/2.87 | (79) all_0_97_97 = e11 | all_0_101_101 = e11 | all_0_103_103 = e11
% 10.07/2.87 | (80) all_0_95_95 = e21 | all_0_95_95 = e20
% 10.07/2.87 | (81) ~ (e23 = e13)
% 10.07/2.87 | (82) all_0_98_98 = e10 | all_0_100_100 = e10
% 10.07/2.87 | (83) op2(all_0_92_92, all_0_83_83) = all_0_52_52
% 10.07/2.87 | (84) ~ (all_0_101_101 = e12) | all_0_100_100 = e11
% 10.07/2.87 | (85) h4(e13) = e23
% 10.07/2.87 | (86) all_0_97_97 = e12 | all_0_97_97 = e11
% 10.07/2.87 | (87) ~ (e22 = e20)
% 10.07/2.87 | (88) all_0_89_89 = e22 | all_0_92_92 = e21 | all_0_95_95 = e20
% 10.07/2.87 | (89) ~ (all_0_101_101 = all_0_102_102)
% 10.07/2.87 | (90) op2(e21, e20) = all_0_93_93
% 10.07/2.87 | (91) ~ (all_0_88_88 = e23)
% 10.07/2.87 | (92) all_0_96_96 = e11 | all_0_100_100 = e11
% 10.07/2.87 | (93) all_0_90_90 = e22 | all_0_93_93 = e22
% 10.07/2.87 | (94) ~ (all_0_95_95 = e22)
% 10.07/2.87 | (95) all_0_87_87 = e22 | all_0_88_88 = e22
% 10.07/2.87 | (96) ~ (all_0_104_104 = e13)
% 10.07/2.87 | (97) op1(e11, e10) = all_0_102_102
% 10.07/2.87 | (98) h3(all_0_101_101) = all_0_24_24
% 10.07/2.87 | (99) op1(e12, e11) = e13
% 10.07/2.87 | (100) ~ (all_0_88_88 = e20)
% 10.07/2.87 | (101) ~ (all_0_98_98 = e13)
% 10.07/2.87 | (102) op2(e22, e23) = e21
% 10.07/2.87 | (103) h3(all_0_102_102) = all_0_26_26
% 10.07/2.87 | (104) h3(e12) = all_0_81_81
% 10.07/2.87 | (105) h4(e10) = e20
% 10.07/2.87 | (106) ~ (all_0_89_89 = e20) | all_0_90_90 = e22
% 10.07/2.87 | (107) all_0_87_87 = e21 | all_0_88_88 = e21
% 10.07/2.87 | (108) ~ (all_0_96_96 = all_0_100_100)
% 10.07/2.87 | (109) all_0_104_104 = e11 | all_0_104_104 = e10
% 10.07/2.87 | (110) op2(all_0_83_83, all_0_92_92) = all_0_42_42
% 10.07/2.87 | (111) op2(e21, all_0_84_84) = all_0_35_35
% 10.07/2.87 | (112) ~ (all_0_104_104 = e12)
% 10.07/2.87 | (113) h1(e13) = e20
% 10.07/2.87 | (114) all_0_100_100 = e12 | all_0_101_101 = e12 | all_0_102_102 = e12
% 10.07/2.87 | (115) h3(e10) = all_0_89_89
% 10.07/2.87 | (116) all_0_103_103 = e11 | all_0_104_104 = e11
% 10.07/2.87 | (117) h1(all_0_104_104) = all_0_80_80
% 10.07/2.87 | (118) op2(all_0_81_81, all_0_82_82) = all_0_17_17
% 10.07/2.87 | (119) ~ (e21 = e11)
% 10.07/2.87 | (120) op2(e22, e20) = all_0_90_90
% 10.07/2.87 | (121) ~ (e12 = e10)
% 10.07/2.87 | (122) op2(all_0_84_84, all_0_92_92) = all_0_49_49
% 10.07/2.87 | (123) h3(all_0_96_96) = all_0_10_10
% 10.07/2.87 | (124) ~ (all_0_97_97 = all_0_103_103)
% 10.07/2.87 | (125) ~ (all_0_94_94 = e22)
% 10.07/2.87 | (126) ~ (e20 = e10)
% 10.07/2.87 | (127) h1(all_0_100_100) = all_0_70_70
% 10.07/2.87 | (128) all_0_102_102 = e12 | all_0_102_102 = e11 | all_0_102_102 = e10
% 10.07/2.87 | (129) all_0_87_87 = e22 | all_0_87_87 = e21
% 10.07/2.87 | (130) all_0_94_94 = e21 | all_0_95_95 = e21
% 10.07/2.87 | (131) ~ (all_0_92_92 = e22) | all_0_91_91 = e21
% 10.07/2.87 | (132) op1(e10, e10) = all_0_104_104
% 10.07/2.87 | (133) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0))
% 10.07/2.87 | (134) h4(all_0_97_97) = all_0_1_1
% 10.07/2.87 | (135) ~ (all_0_87_87 = all_0_88_88)
% 10.07/2.87 | (136) ~ (all_0_92_92 = all_0_94_94)
% 10.07/2.87 | (137) op2(all_0_89_89, all_0_81_81) = all_0_28_28
% 10.07/2.87 | (138) h1(all_0_103_103) = all_0_78_78
% 10.07/2.88 | (139) ~ (all_0_97_97 = all_0_101_101)
% 10.07/2.88 | (140) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 10.07/2.88 | (141) ~ (all_0_93_93 = e23)
% 10.07/2.88 | (142) h3(all_0_104_104) = all_0_32_32
% 10.07/2.88 | (143) op2(e22, all_0_81_81) = all_0_9_9
% 10.07/2.88 | (144) h4(all_0_103_103) = all_0_7_7
% 10.07/2.88 | (145) all_0_91_91 = e21 | all_0_92_92 = e21 | all_0_93_93 = e21
% 10.07/2.88 | (146) ~ (all_0_104_104 = e11) | all_0_103_103 = e10
% 10.07/2.88 | (147) op2(all_0_95_95, all_0_95_95) = all_0_79_79
% 10.07/2.88 | (148) ~ (all_0_9_9 = all_0_10_10) | ~ (all_0_11_11 = all_0_12_12) | ~ (all_0_13_13 = e22) | ~ (all_0_14_14 = all_0_82_82) | ~ (all_0_15_15 = all_0_16_16) | ~ (all_0_17_17 = e22) | ~ (all_0_18_18 = all_0_19_19) | ~ (all_0_20_20 = e22) | ~ (all_0_21_21 = all_0_22_22) | ~ (all_0_23_23 = all_0_24_24) | ~ (all_0_25_25 = all_0_26_26) | ~ (all_0_27_27 = all_0_81_81) | ~ (all_0_28_28 = e22) | ~ (all_0_29_29 = all_0_30_30) | ~ (all_0_31_31 = all_0_32_32) | ( ~ (all_0_81_81 = e23) & ~ (all_0_82_82 = e23)) | ( ~ (all_0_81_81 = e21) & ~ (all_0_82_82 = e21)) | ( ~ (all_0_81_81 = e20) & ~ (all_0_82_82 = e20) & ~ (all_0_89_89 = e20))
% 10.07/2.88 | (149) h1(all_0_97_97) = all_0_60_60
% 10.07/2.88 | (150) ~ (all_0_92_92 = e23)
% 10.07/2.88 | (151) op1(e12, e10) = all_0_99_99
% 10.07/2.88 | (152) h2(e12) = all_0_83_83
% 10.07/2.88 | (153) op2(e21, all_0_83_83) = all_0_33_33
% 10.07/2.88 | (154) ~ (e13 = e10)
% 10.07/2.88 | (155) h4(all_0_99_99) = all_0_3_3
% 10.07/2.88 | (156) op2(all_0_95_95, all_0_85_85) = all_0_76_76
% 10.07/2.88 | (157) h4(e11) = e21
% 10.07/2.88 | (158) ~ (all_0_99_99 = e13)
% 10.07/2.88 | (159) op1(e10, e13) = e12
% 10.07/2.88 | (160) all_0_88_88 = e22 | all_0_88_88 = e21
% 10.07/2.88 | (161) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 10.07/2.88 | (162) ~ (e20 = e13)
% 10.07/2.88 | (163) ~ (all_0_102_102 = all_0_104_104)
% 10.07/2.88 | (164) op1(e10, e11) = all_0_103_103
% 10.07/2.88 | (165) op2(all_0_82_82, all_0_82_82) = all_0_23_23
% 10.07/2.88 | (166) ~ (all_0_91_91 = e23)
% 10.07/2.88 | (167) ~ (all_0_98_98 = e11)
% 10.07/2.88 | (168) ~ (e20 = e11)
% 10.07/2.88 | (169) all_0_99_99 = e12 | all_0_102_102 = e12
% 10.07/2.88 | (170) ~ (all_0_89_89 = e23)
% 10.07/2.88 | (171) op1(e13, e13) = e10
% 10.07/2.88 | (172) h1(e12) = all_0_85_85
% 10.07/2.88 | (173) op2(all_0_95_95, e20) = all_0_75_75
% 10.07/2.88 | (174) ~ (all_0_87_87 = e23)
% 10.07/2.88 | (175) h2(all_0_96_96) = all_0_34_34
% 10.07/2.88 | (176) h4(e12) = e22
% 10.07/2.88 | (177) h1(all_0_99_99) = all_0_67_67
% 10.07/2.88 | (178) ~ (e23 = e10)
% 10.07/2.88 | (179) op1(e13, e12) = all_0_96_96
% 10.07/2.88 | (180) op2(all_0_85_85, e20) = all_0_86_86
% 10.07/2.88 | (181) ~ (all_0_101_101 = e10) | all_0_102_102 = e11
% 10.07/2.88 | (182) h2(all_0_98_98) = all_0_40_40
% 10.07/2.88 | (183) all_0_99_99 = e10 | all_0_102_102 = e10 | all_0_104_104 = e10
% 10.07/2.88 | (184) op2(all_0_83_83, e21) = all_0_38_38
% 10.07/2.88 | (185) ~ (all_0_101_101 = all_0_103_103)
% 10.07/2.88 | (186) ~ (all_0_95_95 = e21) | all_0_94_94 = e20
% 10.07/2.88 | (187) ~ (all_0_97_97 = e13)
% 10.07/2.88 | (188) ~ (all_0_100_100 = all_0_101_101)
% 10.07/2.88 | (189) op2(e20, e23) = e22
% 10.07/2.88 | (190) op1(e12, e13) = e11
% 10.07/2.88 | (191) all_0_98_98 = e12 | all_0_99_99 = e12
% 10.07/2.88 | (192) all_0_98_98 = e12 | all_0_101_101 = e11 | all_0_104_104 = e10
% 10.07/2.88 | (193) h2(all_0_102_102) = all_0_50_50
% 10.07/2.88 | (194) all_0_101_101 = e10 | all_0_103_103 = e10
% 10.07/2.88 | (195) ~ (e22 = e21)
% 10.07/2.88 | (196) ~ (all_0_103_103 = all_0_104_104)
% 10.07/2.88 | (197) all_0_100_100 = e12 | all_0_100_100 = e11 | all_0_100_100 = e10
% 10.07/2.88 | (198) op2(all_0_84_84, all_0_83_83) = all_0_45_45
% 10.07/2.88 | (199) ~ (all_0_102_102 = e13)
% 10.07/2.88 | (200) ~ (all_0_94_94 = all_0_95_95)
% 10.07/2.88 | (201) all_0_92_92 = e22 | all_0_92_92 = e21 | all_0_92_92 = e20
% 10.07/2.88 | (202) op2(e21, all_0_92_92) = all_0_37_37
% 10.07/2.88 | (203) ~ (e23 = e12)
% 10.07/2.88 | (204) all_0_99_99 = e12 | all_0_99_99 = e10
% 10.07/2.88 | (205) op2(all_0_89_89, all_0_82_82) = all_0_29_29
% 10.07/2.88 | (206) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 10.07/2.89 | (207) h4(all_0_101_101) = all_0_5_5
% 10.07/2.89 | (208) all_0_88_88 = e21 | all_0_92_92 = e21 | all_0_94_94 = e21
% 10.07/2.89 | (209) ~ (e20 = e12)
% 10.07/2.89 | (210) op1(e11, e13) = e13
% 10.07/2.89 | (211) ~ (e23 = e20)
% 10.07/2.89 | (212) op2(all_0_86_86, e20) = all_0_68_68
% 10.07/2.89 | (213) h3(e13) = e22
% 10.07/2.89 | (214) h3(e11) = all_0_82_82
% 10.07/2.89 | (215) op2(e20, e21) = all_0_94_94
% 10.07/2.89 | (216) all_0_87_87 = e22 | all_0_88_88 = e21 | (all_0_90_90 = e20 & ~ (all_0_89_89 = e22) & ( ~ (all_0_91_91 = e21) | ~ (all_0_92_92 = e22))) | (all_0_91_91 = e22 & ~ (all_0_92_92 = e21) & ( ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21))) | (all_0_93_93 = e20 & ~ (all_0_92_92 = e21) & ( ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21))) | ( ~ (all_0_92_92 = e21) & ( ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21)))
% 10.07/2.89 | (217) op2(all_0_84_84, all_0_84_84) = all_0_47_47
% 10.07/2.89 | (218) ~ (all_0_87_87 = e20)
% 10.07/2.89 | (219) all_0_89_89 = e20 | all_0_90_90 = e20
% 10.07/2.89 | (220) op2(e21, e23) = e23
% 10.07/2.89 | (221) ~ (all_0_95_95 = e23)
% 10.07/2.89 | (222) ~ (all_0_100_100 = all_0_102_102)
% 10.07/2.89 | (223) h3(all_0_98_98) = all_0_16_16
% 10.07/2.89 | (224) op2(all_0_92_92, all_0_92_92) = all_0_55_55
% 10.07/2.89 | (225) ~ (e23 = e21)
% 10.07/2.89 | (226) ~ (all_0_103_103 = e13)
% 10.07/2.89 | (227) all_0_101_101 = e12 | all_0_101_101 = e11 | all_0_101_101 = e10
% 10.07/2.89 | (228) h1(all_0_102_102) = all_0_74_74
% 10.07/2.89 | (229) ~ (e22 = e13)
% 10.07/2.89 | (230) ~ (e22 = e12)
% 10.07/2.89 | (231) ~ (all_0_100_100 = e13)
% 10.07/2.89 | (232) ~ (e13 = e12)
% 10.07/2.89 | (233) h2(all_0_100_100) = all_0_46_46
% 10.07/2.89 | (234) op2(all_0_86_86, all_0_95_95) = all_0_73_73
% 10.07/2.89 | (235) op2(all_0_92_92, e21) = all_0_51_51
% 10.07/2.89 | (236) ~ (all_0_96_96 = all_0_97_97)
% 10.07/2.89 | (237) h3(all_0_103_103) = all_0_30_30
% 10.07/2.89 | (238) ~ (e11 = e10)
% 10.07/2.89 | (239) all_0_96_96 = e12 | all_0_97_97 = e12
% 10.07/2.89 | (240) ~ (all_0_91_91 = all_0_92_92)
% 10.07/2.89 | (241) all_0_100_100 = e11 | all_0_101_101 = e11 | all_0_102_102 = e11
% 10.07/2.89 | (242) op2(all_0_81_81, all_0_81_81) = all_0_15_15
% 10.07/2.89 | (243) h1(e11) = all_0_86_86
% 10.07/2.89 | (244) op1(e13, e11) = all_0_97_97
% 10.07/2.89 | (245) h2(all_0_99_99) = all_0_43_43
% 10.07/2.89 | (246) op2(e22, e22) = all_0_89_89
% 10.07/2.89 | (247) ~ (all_0_89_89 = e21)
% 10.07/2.89 | (248) all_0_92_92 = e20 | all_0_94_94 = e20
% 10.07/2.89 | (249) h2(e13) = e21
% 10.07/2.89 | (250) all_0_91_91 = e22 | all_0_91_91 = e21 | all_0_91_91 = e20
% 10.07/2.89 | (251) ~ (e23 = e11)
% 10.07/2.89 | (252) ~ (all_0_90_90 = e21)
% 10.07/2.89 | (253) op2(all_0_84_84, e21) = all_0_44_44
% 10.07/2.89 | (254) h1(e10) = all_0_95_95
% 10.07/2.89 | (255) ~ (e12 = e11)
% 10.07/2.89 | (256) all_0_103_103 = e10 | all_0_104_104 = e10
% 10.07/2.89 | (257) all_0_89_89 = e22 | all_0_90_90 = e22
% 10.07/2.89 | (258) ~ (e21 = e12)
% 10.07/2.89 | (259) op2(all_0_81_81, e22) = all_0_14_14
% 10.07/2.89 | (260) h2(all_0_97_97) = all_0_36_36
% 10.07/2.89 | (261) op2(all_0_82_82, e22) = all_0_20_20
% 10.07/2.89 | (262) op1(e12, e12) = all_0_98_98
% 10.07/2.89 | (263) ~ (e21 = e20)
% 10.07/2.89 | (264) ~ (all_0_98_98 = all_0_100_100)
% 10.07/2.89 | (265) op2(e20, all_0_85_85) = all_0_57_57
% 10.07/2.89 | (266) ~ (all_0_99_99 = all_0_102_102)
% 10.07/2.89 | (267) op2(all_0_89_89, all_0_89_89) = all_0_31_31
% 10.07/2.89 | (268) op2(all_0_89_89, e22) = all_0_81_81
% 10.07/2.89 | (269) op2(all_0_95_95, e20) = all_0_85_85
% 10.07/2.89 | (270) ~ (all_0_99_99 = e11)
% 10.07/2.89 | (271) op2(e23, e21) = all_0_88_88
% 10.07/2.89 | (272) h4(all_0_104_104) = all_0_8_8
% 10.07/2.89 | (273) ~ (e21 = e13)
% 10.07/2.89 | (274) all_0_100_100 = e10 | all_0_101_101 = e10 | all_0_102_102 = e10
% 10.07/2.89 | (275) ~ (all_0_90_90 = all_0_95_95)
% 10.07/2.89 | (276) ~ (all_0_57_57 = all_0_58_58) | ~ (all_0_59_59 = all_0_60_60) | ~ (all_0_61_61 = e20) | ~ (all_0_62_62 = all_0_86_86) | ~ (all_0_63_63 = all_0_64_64) | ~ (all_0_65_65 = e20) | ~ (all_0_66_66 = all_0_67_67) | ~ (all_0_68_68 = e20) | ~ (all_0_69_69 = all_0_70_70) | ~ (all_0_71_71 = all_0_72_72) | ~ (all_0_73_73 = all_0_74_74) | ~ (all_0_75_75 = all_0_85_85) | ~ (all_0_76_76 = e20) | ~ (all_0_77_77 = all_0_78_78) | ~ (all_0_79_79 = all_0_80_80) | ( ~ (all_0_85_85 = e23) & ~ (all_0_86_86 = e23)) | ( ~ (all_0_85_85 = e22) & ~ (all_0_86_86 = e22)) | ( ~ (all_0_85_85 = e21) & ~ (all_0_86_86 = e21) & ~ (all_0_95_95 = e21))
% 10.07/2.89 | (277) op2(all_0_83_83, all_0_83_83) = all_0_39_39
% 10.07/2.89 | (278) ~ (all_0_99_99 = all_0_104_104)
% 10.07/2.89 | (279) op1(e11, e12) = all_0_100_100
% 10.07/2.89 | (280) ~ (all_0_97_97 = e10)
% 10.07/2.89 | (281) ~ (e13 = e11)
% 10.07/2.89 | (282) h4(all_0_100_100) = all_0_4_4
% 10.07/2.89 | (283) ~ (all_0_96_96 = e13)
% 10.07/2.90 | (284) h2(e10) = all_0_92_92
% 10.07/2.90 | (285) op2(all_0_82_82, all_0_81_81) = all_0_21_21
% 10.07/2.90 | (286) op2(all_0_95_95, all_0_86_86) = all_0_77_77
% 10.07/2.90 | (287) all_0_96_96 = e12 | all_0_97_97 = e11 | (all_0_99_99 = e10 & ~ (all_0_98_98 = e12) & ( ~ (all_0_100_100 = e11) | ~ (all_0_101_101 = e12))) | (all_0_100_100 = e12 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))) | (all_0_102_102 = e10 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))) | ( ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11)))
% 10.07/2.90 | (288) h1(all_0_96_96) = all_0_58_58
% 10.07/2.90 | (289) ~ (all_0_91_91 = all_0_93_93)
% 10.07/2.90 | (290) h4(all_0_96_96) = all_0_0_0
% 10.07/2.90 | (291) h1(all_0_101_101) = all_0_72_72
% 10.07/2.90 | (292) h3(all_0_99_99) = all_0_19_19
% 10.07/2.90 | (293) h3(all_0_100_100) = all_0_22_22
% 10.07/2.90 | (294) h4(all_0_102_102) = all_0_6_6
% 10.07/2.90 | (295) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0))
% 10.07/2.90 | (296) all_0_90_90 = e22 | all_0_90_90 = e20
% 10.07/2.90 | (297) ~ (all_0_89_89 = all_0_91_91)
% 10.07/2.90 | (298) ~ (e22 = e10)
% 10.07/2.90 | (299) op2(e20, all_0_86_86) = all_0_59_59
% 10.07/2.90 | (300) op2(e22, all_0_89_89) = all_0_13_13
% 10.07/2.90 |
% 10.07/2.90 +-Applying beta-rule and splitting (131), into two cases.
% 10.07/2.90 |-Branch one:
% 10.07/2.90 | (301) ~ (all_0_92_92 = e22)
% 10.07/2.90 |
% 10.07/2.90 +-Applying beta-rule and splitting (19), into two cases.
% 10.07/2.90 |-Branch one:
% 10.07/2.90 | (302) all_0_88_88 = e22
% 10.07/2.90 |
% 10.07/2.90 | Equations (302) can reduce 29 to:
% 10.07/2.90 | (303) ~ (all_0_92_92 = e22)
% 10.07/2.90 |
% 10.07/2.90 | Simplifying 303 yields:
% 10.07/2.90 | (301) ~ (all_0_92_92 = e22)
% 10.07/2.90 |
% 10.07/2.90 | Equations (302) can reduce 68 to:
% 10.07/2.90 | (305) ~ (all_0_94_94 = e22)
% 10.07/2.90 |
% 10.07/2.90 | Simplifying 305 yields:
% 10.07/2.90 | (125) ~ (all_0_94_94 = e22)
% 10.07/2.90 |
% 10.07/2.90 +-Applying beta-rule and splitting (107), into two cases.
% 10.07/2.90 |-Branch one:
% 10.07/2.90 | (307) all_0_87_87 = e21
% 10.07/2.90 |
% 10.07/2.90 | Equations (307) can reduce 38 to:
% 10.07/2.90 | (308) ~ (all_0_89_89 = e21)
% 10.07/2.90 |
% 10.07/2.90 | Simplifying 308 yields:
% 10.07/2.90 | (247) ~ (all_0_89_89 = e21)
% 10.07/2.90 |
% 10.07/2.90 +-Applying beta-rule and splitting (80), into two cases.
% 10.07/2.90 |-Branch one:
% 10.07/2.90 | (310) all_0_95_95 = e21
% 10.07/2.90 |
% 10.07/2.90 | Equations (310) can reduce 200 to:
% 10.07/2.90 | (311) ~ (all_0_94_94 = e21)
% 10.07/2.90 |
% 10.07/2.90 +-Applying beta-rule and splitting (58), into two cases.
% 10.07/2.90 |-Branch one:
% 10.07/2.90 | (312) all_0_94_94 = e21
% 10.07/2.90 |
% 10.07/2.90 | Equations (312) can reduce 311 to:
% 10.07/2.90 | (313) $false
% 10.07/2.90 |
% 10.07/2.90 |-The branch is then unsatisfiable
% 10.07/2.90 |-Branch two:
% 10.07/2.90 | (311) ~ (all_0_94_94 = e21)
% 10.07/2.90 | (315) all_0_94_94 = e20
% 10.07/2.90 |
% 10.07/2.90 | Equations (315) can reduce 136 to:
% 10.07/2.90 | (316) ~ (all_0_92_92 = e20)
% 10.07/2.90 |
% 10.07/2.90 +-Applying beta-rule and splitting (201), into two cases.
% 10.07/2.90 |-Branch one:
% 10.07/2.90 | (317) all_0_92_92 = e21
% 10.07/2.90 |
% 10.07/2.90 | Equations (317) can reduce 301 to:
% 10.07/2.90 | (318) ~ (e22 = e21)
% 10.07/2.90 |
% 10.07/2.90 | Simplifying 318 yields:
% 10.07/2.90 | (195) ~ (e22 = e21)
% 10.07/2.90 |
% 10.07/2.90 +-Applying beta-rule and splitting (216), into two cases.
% 10.07/2.90 |-Branch one:
% 10.07/2.90 | (320) all_0_88_88 = e21
% 10.07/2.90 |
% 10.07/2.90 | Combining equations (302,320) yields a new equation:
% 10.07/2.90 | (321) e22 = e21
% 10.07/2.90 |
% 10.07/2.90 | Simplifying 321 yields:
% 10.07/2.90 | (322) e22 = e21
% 10.07/2.90 |
% 10.07/2.90 | Equations (322) can reduce 195 to:
% 10.07/2.90 | (313) $false
% 10.07/2.90 |
% 10.07/2.90 |-The branch is then unsatisfiable
% 10.07/2.90 |-Branch two:
% 10.07/2.90 | (324) ~ (all_0_88_88 = e21)
% 10.07/2.90 | (325) all_0_87_87 = e22 | (all_0_90_90 = e20 & ~ (all_0_89_89 = e22) & ( ~ (all_0_91_91 = e21) | ~ (all_0_92_92 = e22))) | (all_0_91_91 = e22 & ~ (all_0_92_92 = e21) & ( ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21))) | (all_0_93_93 = e20 & ~ (all_0_92_92 = e21) & ( ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21))) | ( ~ (all_0_92_92 = e21) & ( ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21)))
% 10.07/2.90 |
% 10.07/2.90 | Equations (302) can reduce 324 to:
% 10.07/2.90 | (195) ~ (e22 = e21)
% 10.07/2.90 |
% 10.07/2.90 +-Applying beta-rule and splitting (325), into two cases.
% 10.07/2.90 |-Branch one:
% 10.07/2.90 | (327) all_0_87_87 = e22
% 10.07/2.90 |
% 10.07/2.90 | Combining equations (307,327) yields a new equation:
% 10.07/2.90 | (322) e22 = e21
% 10.07/2.90 |
% 10.07/2.90 | Equations (322) can reduce 195 to:
% 10.07/2.90 | (313) $false
% 10.07/2.90 |
% 10.07/2.90 |-The branch is then unsatisfiable
% 10.07/2.90 |-Branch two:
% 10.07/2.90 | (330) ~ (all_0_87_87 = e22)
% 10.07/2.90 | (331) (all_0_90_90 = e20 & ~ (all_0_89_89 = e22) & ( ~ (all_0_91_91 = e21) | ~ (all_0_92_92 = e22))) | (all_0_91_91 = e22 & ~ (all_0_92_92 = e21) & ( ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21))) | (all_0_93_93 = e20 & ~ (all_0_92_92 = e21) & ( ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21))) | ( ~ (all_0_92_92 = e21) & ( ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21)))
% 10.07/2.90 |
% 10.07/2.90 +-Applying beta-rule and splitting (331), into two cases.
% 10.07/2.90 |-Branch one:
% 10.07/2.90 | (332) (all_0_90_90 = e20 & ~ (all_0_89_89 = e22) & ( ~ (all_0_91_91 = e21) | ~ (all_0_92_92 = e22))) | (all_0_91_91 = e22 & ~ (all_0_92_92 = e21) & ( ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21))) | (all_0_93_93 = e20 & ~ (all_0_92_92 = e21) & ( ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21)))
% 10.07/2.90 |
% 10.07/2.90 +-Applying beta-rule and splitting (332), into two cases.
% 10.07/2.90 |-Branch one:
% 10.07/2.90 | (333) (all_0_90_90 = e20 & ~ (all_0_89_89 = e22) & ( ~ (all_0_91_91 = e21) | ~ (all_0_92_92 = e22))) | (all_0_91_91 = e22 & ~ (all_0_92_92 = e21) & ( ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21)))
% 10.07/2.90 |
% 10.07/2.90 +-Applying beta-rule and splitting (333), into two cases.
% 10.07/2.90 |-Branch one:
% 10.07/2.90 | (334) all_0_90_90 = e20 & ~ (all_0_89_89 = e22) & ( ~ (all_0_91_91 = e21) | ~ (all_0_92_92 = e22))
% 10.07/2.90 |
% 10.07/2.90 | Applying alpha-rule on (334) yields:
% 10.07/2.90 | (335) all_0_90_90 = e20
% 10.07/2.90 | (336) ~ (all_0_89_89 = e22)
% 10.07/2.90 | (337) ~ (all_0_91_91 = e21) | ~ (all_0_92_92 = e22)
% 10.07/2.90 |
% 10.07/2.90 | Equations (335) can reduce 61 to:
% 10.07/2.90 | (338) ~ (all_0_89_89 = e20)
% 10.07/2.90 |
% 10.07/2.90 +-Applying beta-rule and splitting (34), into two cases.
% 10.07/2.90 |-Branch one:
% 10.07/2.90 | (339) all_0_89_89 = e20
% 10.07/2.90 |
% 10.07/2.90 | Equations (339) can reduce 338 to:
% 10.07/2.90 | (313) $false
% 10.07/2.90 |
% 10.07/2.90 |-The branch is then unsatisfiable
% 10.07/2.90 |-Branch two:
% 10.07/2.90 | (338) ~ (all_0_89_89 = e20)
% 10.07/2.90 | (342) all_0_89_89 = e22
% 10.07/2.90 |
% 10.07/2.90 | Equations (342) can reduce 336 to:
% 10.07/2.90 | (313) $false
% 10.07/2.90 |
% 10.07/2.90 |-The branch is then unsatisfiable
% 10.07/2.90 |-Branch two:
% 10.07/2.90 | (344) all_0_91_91 = e22 & ~ (all_0_92_92 = e21) & ( ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21))
% 10.07/2.90 |
% 10.07/2.90 | Applying alpha-rule on (344) yields:
% 10.07/2.90 | (345) all_0_91_91 = e22
% 10.07/2.91 | (346) ~ (all_0_92_92 = e21)
% 10.07/2.91 | (347) ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21)
% 10.07/2.91 |
% 10.07/2.91 | Equations (317) can reduce 346 to:
% 10.07/2.91 | (313) $false
% 10.07/2.91 |
% 10.07/2.91 |-The branch is then unsatisfiable
% 10.07/2.91 |-Branch two:
% 10.07/2.91 | (349) all_0_93_93 = e20 & ~ (all_0_92_92 = e21) & ( ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21))
% 10.07/2.91 |
% 10.07/2.91 | Applying alpha-rule on (349) yields:
% 10.07/2.91 | (350) all_0_93_93 = e20
% 10.07/2.91 | (346) ~ (all_0_92_92 = e21)
% 10.07/2.91 | (347) ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21)
% 10.07/2.91 |
% 10.07/2.91 | Equations (317) can reduce 346 to:
% 10.07/2.91 | (313) $false
% 10.07/2.91 |
% 10.07/2.91 |-The branch is then unsatisfiable
% 10.07/2.91 |-Branch two:
% 10.07/2.91 | (354) ~ (all_0_92_92 = e21) & ( ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21))
% 10.07/2.91 |
% 10.07/2.91 | Applying alpha-rule on (354) yields:
% 10.07/2.91 | (346) ~ (all_0_92_92 = e21)
% 10.07/2.91 | (347) ~ (all_0_94_94 = e20) | ~ (all_0_95_95 = e21)
% 10.07/2.91 |
% 10.07/2.91 | Equations (317) can reduce 346 to:
% 10.07/2.91 | (313) $false
% 10.07/2.91 |
% 10.07/2.91 |-The branch is then unsatisfiable
% 10.07/2.91 |-Branch two:
% 10.07/2.91 | (346) ~ (all_0_92_92 = e21)
% 10.07/2.91 | (359) all_0_92_92 = e22 | all_0_92_92 = e20
% 10.07/2.91 |
% 10.07/2.91 +-Applying beta-rule and splitting (359), into two cases.
% 10.07/2.91 |-Branch one:
% 10.07/2.91 | (360) all_0_92_92 = e20
% 10.07/2.91 |
% 10.07/2.91 | Equations (360) can reduce 316 to:
% 10.07/2.91 | (313) $false
% 10.07/2.91 |
% 10.07/2.91 |-The branch is then unsatisfiable
% 10.07/2.91 |-Branch two:
% 10.07/2.91 | (316) ~ (all_0_92_92 = e20)
% 10.07/2.91 | (363) all_0_92_92 = e22
% 10.07/2.91 |
% 10.07/2.91 | Equations (363) can reduce 301 to:
% 10.07/2.91 | (313) $false
% 10.07/2.91 |
% 10.07/2.91 |-The branch is then unsatisfiable
% 10.07/2.91 |-Branch two:
% 10.07/2.91 | (365) ~ (all_0_95_95 = e21)
% 10.07/2.91 | (366) all_0_95_95 = e20
% 10.07/2.91 |
% 10.07/2.91 | Equations (366) can reduce 200 to:
% 10.07/2.91 | (367) ~ (all_0_94_94 = e20)
% 10.07/2.91 |
% 10.07/2.91 | Equations (366) can reduce 365 to:
% 10.07/2.91 | (368) ~ (e21 = e20)
% 10.07/2.91 |
% 10.07/2.91 | Simplifying 368 yields:
% 10.07/2.91 | (263) ~ (e21 = e20)
% 10.07/2.91 |
% 10.07/2.91 +-Applying beta-rule and splitting (130), into two cases.
% 10.07/2.91 |-Branch one:
% 10.07/2.91 | (312) all_0_94_94 = e21
% 10.07/2.91 |
% 10.07/2.91 | Equations (312) can reduce 125 to:
% 10.07/2.91 | (318) ~ (e22 = e21)
% 10.07/2.91 |
% 10.07/2.91 | Simplifying 318 yields:
% 10.07/2.91 | (195) ~ (e22 = e21)
% 10.07/2.91 |
% 10.07/2.91 | Equations (312) can reduce 367 to:
% 10.07/2.91 | (263) ~ (e21 = e20)
% 10.07/2.91 |
% 10.07/2.91 +-Applying beta-rule and splitting (26), into two cases.
% 10.07/2.91 |-Branch one:
% 10.07/2.91 | (374) all_0_93_93 = e21
% 10.07/2.91 |
% 10.07/2.91 | Equations (374) can reduce 60 to:
% 10.07/2.91 | (252) ~ (all_0_90_90 = e21)
% 10.07/2.91 |
% 10.07/2.91 +-Applying beta-rule and splitting (93), into two cases.
% 10.07/2.91 |-Branch one:
% 10.07/2.91 | (376) all_0_90_90 = e22
% 10.07/2.91 |
% 10.07/2.91 | Equations (376) can reduce 61 to:
% 10.07/2.91 | (336) ~ (all_0_89_89 = e22)
% 10.07/2.91 |
% 10.07/2.91 | Equations (376) can reduce 252 to:
% 10.07/2.91 | (195) ~ (e22 = e21)
% 10.07/2.91 |
% 10.07/2.91 +-Applying beta-rule and splitting (34), into two cases.
% 10.07/2.91 |-Branch one:
% 10.07/2.91 | (339) all_0_89_89 = e20
% 10.07/2.91 |
% 10.07/2.91 | Equations (339) can reduce 297 to:
% 10.07/2.91 | (380) ~ (all_0_91_91 = e20)
% 10.07/2.91 |
% 10.07/2.91 | Simplifying 380 yields:
% 10.07/2.91 | (381) ~ (all_0_91_91 = e20)
% 10.07/2.91 |
% 10.07/2.91 | Equations (339) can reduce 247 to:
% 10.07/2.91 | (368) ~ (e21 = e20)
% 10.07/2.91 |
% 10.07/2.91 | Simplifying 368 yields:
% 10.07/2.91 | (263) ~ (e21 = e20)
% 10.07/2.91 |
% 10.07/2.91 +-Applying beta-rule and splitting (15), into two cases.
% 10.07/2.91 |-Branch one:
% 10.07/2.91 | (384) all_0_91_91 = e20
% 10.07/2.91 |
% 10.07/2.91 | Equations (384) can reduce 381 to:
% 10.07/2.91 | (313) $false
% 10.07/2.91 |
% 10.07/2.91 |-The branch is then unsatisfiable
% 10.07/2.91 |-Branch two:
% 10.07/2.91 | (381) ~ (all_0_91_91 = e20)
% 10.07/2.91 | (387) all_0_92_92 = e20 | all_0_93_93 = e20
% 10.07/2.91 |
% 10.07/2.91 +-Applying beta-rule and splitting (387), into two cases.
% 10.07/2.91 |-Branch one:
% 10.07/2.91 | (360) all_0_92_92 = e20
% 10.07/2.91 |
% 10.07/2.91 | Equations (360) can reduce 301 to:
% 10.07/2.91 | (389) ~ (e22 = e20)
% 10.07/2.91 |
% 10.07/2.91 | Simplifying 389 yields:
% 10.07/2.91 | (87) ~ (e22 = e20)
% 10.07/2.91 |
% 10.07/2.91 +-Applying beta-rule and splitting (14), into two cases.
% 10.07/2.91 |-Branch one:
% 10.07/2.91 | (327) all_0_87_87 = e22
% 10.07/2.91 |
% 10.07/2.91 | Combining equations (307,327) yields a new equation:
% 10.07/2.91 | (322) e22 = e21
% 10.07/2.91 |
% 10.07/2.91 | Equations (322) can reduce 195 to:
% 10.07/2.91 | (313) $false
% 10.07/2.91 |
% 10.07/2.91 |-The branch is then unsatisfiable
% 10.07/2.91 |-Branch two:
% 10.07/2.91 | (330) ~ (all_0_87_87 = e22)
% 10.07/2.91 | (395) all_0_89_89 = e22 | all_0_91_91 = e22
% 10.07/2.91 |
% 10.07/2.91 | Equations (307) can reduce 330 to:
% 10.07/2.91 | (318) ~ (e22 = e21)
% 10.07/2.91 |
% 10.07/2.91 | Simplifying 318 yields:
% 10.07/2.91 | (195) ~ (e22 = e21)
% 10.07/2.91 |
% 10.07/2.91 +-Applying beta-rule and splitting (12), into two cases.
% 10.07/2.91 |-Branch one:
% 10.07/2.91 | (345) all_0_91_91 = e22
% 10.07/2.91 |
% 10.07/2.91 +-Applying beta-rule and splitting (116), into two cases.
% 10.07/2.91 |-Branch one:
% 10.07/2.91 | (399) all_0_103_103 = e11
% 10.07/2.91 |
% 10.07/2.91 | Equations (399) can reduce 124 to:
% 10.07/2.91 | (400) ~ (all_0_97_97 = e11)
% 10.07/2.91 |
% 10.07/2.91 | Equations (399) can reduce 196 to:
% 10.07/2.91 | (401) ~ (all_0_104_104 = e11)
% 10.07/2.91 |
% 10.07/2.91 | Simplifying 401 yields:
% 10.07/2.91 | (402) ~ (all_0_104_104 = e11)
% 10.07/2.91 |
% 10.07/2.91 | Equations (399) can reduce 37 to:
% 10.07/2.91 | (403) ~ (e12 = e11)
% 10.07/2.91 |
% 10.07/2.91 | Simplifying 403 yields:
% 10.07/2.91 | (255) ~ (e12 = e11)
% 10.07/2.91 |
% 10.07/2.91 | From (399) and (144) follows:
% 10.07/2.91 | (405) h4(e11) = all_0_7_7
% 10.07/2.91 |
% 10.07/2.91 +-Applying beta-rule and splitting (109), into two cases.
% 10.07/2.91 |-Branch one:
% 10.07/2.91 | (406) all_0_104_104 = e11
% 10.07/2.91 |
% 10.07/2.91 | Equations (406) can reduce 402 to:
% 10.07/2.91 | (313) $false
% 10.07/2.91 |
% 10.07/2.91 |-The branch is then unsatisfiable
% 10.07/2.91 |-Branch two:
% 10.07/2.91 | (402) ~ (all_0_104_104 = e11)
% 10.07/2.91 | (409) all_0_104_104 = e10
% 10.07/2.91 |
% 10.07/2.91 | Equations (409) can reduce 163 to:
% 10.07/2.91 | (410) ~ (all_0_102_102 = e10)
% 10.07/2.91 |
% 10.07/2.91 | Equations (409) can reduce 402 to:
% 10.07/2.91 | (411) ~ (e11 = e10)
% 10.07/2.91 |
% 10.07/2.91 | Simplifying 411 yields:
% 10.07/2.91 | (238) ~ (e11 = e10)
% 10.07/2.91 |
% 10.07/2.91 | From (409) and (272) follows:
% 10.07/2.91 | (413) h4(e10) = all_0_8_8
% 10.07/2.91 |
% 10.07/2.91 +-Applying beta-rule and splitting (20), into two cases.
% 10.07/2.91 |-Branch one:
% 10.07/2.91 | (414) all_0_102_102 = e11
% 10.07/2.91 |
% 10.07/2.91 | Equations (414) can reduce 266 to:
% 10.07/2.91 | (270) ~ (all_0_99_99 = e11)
% 10.07/2.91 |
% 10.07/2.91 | Equations (414) can reduce 410 to:
% 10.07/2.91 | (238) ~ (e11 = e10)
% 10.07/2.91 |
% 10.07/2.91 | From (414) and (294) follows:
% 10.07/2.91 | (417) h4(e11) = all_0_6_6
% 10.07/2.91 |
% 10.07/2.91 +-Applying beta-rule and splitting (169), into two cases.
% 10.07/2.91 |-Branch one:
% 10.07/2.91 | (418) all_0_99_99 = e12
% 10.07/2.91 |
% 10.07/2.91 | Equations (418) can reduce 44 to:
% 10.07/2.91 | (419) ~ (all_0_98_98 = e12)
% 10.07/2.91 |
% 10.07/2.91 | Equations (418) can reduce 270 to:
% 10.07/2.92 | (255) ~ (e12 = e11)
% 10.07/2.92 |
% 10.07/2.92 | From (418) and (155) follows:
% 10.07/2.92 | (421) h4(e12) = all_0_3_3
% 10.07/2.92 |
% 10.07/2.92 +-Applying beta-rule and splitting (194), into two cases.
% 10.07/2.92 |-Branch one:
% 10.07/2.92 | (422) all_0_101_101 = e10
% 10.07/2.92 |
% 10.07/2.92 | From (422) and (207) follows:
% 10.07/2.92 | (423) h4(e10) = all_0_5_5
% 10.07/2.92 |
% 10.07/2.92 +-Applying beta-rule and splitting (74), into two cases.
% 10.07/2.92 |-Branch one:
% 10.07/2.92 | (424) all_0_98_98 = e10
% 10.07/2.92 |
% 10.07/2.92 | Equations (424) can reduce 419 to:
% 10.07/2.92 | (425) ~ (e12 = e10)
% 10.07/2.92 |
% 10.07/2.92 | Simplifying 425 yields:
% 10.07/2.92 | (121) ~ (e12 = e10)
% 10.07/2.92 |
% 10.07/2.92 | From (424) and (5) follows:
% 10.07/2.92 | (427) h4(e10) = all_0_2_2
% 10.07/2.92 |
% 10.07/2.92 +-Applying beta-rule and splitting (75), into two cases.
% 10.07/2.92 |-Branch one:
% 10.07/2.92 | (428) all_0_96_96 = e11
% 10.07/2.92 |
% 10.07/2.92 | Equations (428) can reduce 108 to:
% 10.07/2.92 | (429) ~ (all_0_100_100 = e11)
% 10.07/2.92 |
% 10.07/2.92 | Simplifying 429 yields:
% 10.07/2.92 | (430) ~ (all_0_100_100 = e11)
% 10.07/2.92 |
% 10.07/2.92 | From (428) and (290) follows:
% 10.07/2.92 | (431) h4(e11) = all_0_0_0
% 10.07/2.92 |
% 10.07/2.92 +-Applying beta-rule and splitting (50), into two cases.
% 10.07/2.92 |-Branch one:
% 10.07/2.92 | (432) all_0_96_96 = e12
% 10.07/2.92 |
% 10.07/2.92 | Combining equations (428,432) yields a new equation:
% 10.07/2.92 | (433) e12 = e11
% 10.07/2.92 |
% 10.07/2.92 | Equations (433) can reduce 255 to:
% 10.07/2.92 | (313) $false
% 10.07/2.92 |
% 10.07/2.92 |-The branch is then unsatisfiable
% 10.07/2.92 |-Branch two:
% 10.07/2.92 | (435) ~ (all_0_96_96 = e12)
% 10.07/2.92 | (436) all_0_98_98 = e12 | all_0_100_100 = e12
% 10.07/2.92 |
% 10.07/2.92 +-Applying beta-rule and splitting (436), into two cases.
% 10.07/2.92 |-Branch one:
% 10.07/2.92 | (437) all_0_98_98 = e12
% 10.07/2.92 |
% 10.07/2.92 | Combining equations (437,424) yields a new equation:
% 10.07/2.92 | (438) e12 = e10
% 10.07/2.92 |
% 10.07/2.92 | Simplifying 438 yields:
% 10.07/2.92 | (439) e12 = e10
% 10.07/2.92 |
% 10.07/2.92 | Equations (439) can reduce 121 to:
% 10.07/2.92 | (313) $false
% 10.07/2.92 |
% 10.07/2.92 |-The branch is then unsatisfiable
% 10.07/2.92 |-Branch two:
% 10.07/2.92 | (419) ~ (all_0_98_98 = e12)
% 10.07/2.92 | (442) all_0_100_100 = e12
% 10.07/2.92 |
% 10.07/2.92 | Equations (442) can reduce 430 to:
% 10.07/2.92 | (255) ~ (e12 = e11)
% 10.07/2.92 |
% 10.07/2.92 | From (442) and (282) follows:
% 10.07/2.92 | (444) h4(e12) = all_0_4_4
% 10.07/2.92 |
% 10.07/2.92 +-Applying beta-rule and splitting (239), into two cases.
% 10.07/2.92 |-Branch one:
% 10.07/2.92 | (432) all_0_96_96 = e12
% 10.07/2.92 |
% 10.07/2.92 | Combining equations (428,432) yields a new equation:
% 10.07/2.92 | (433) e12 = e11
% 10.07/2.92 |
% 10.07/2.92 | Equations (433) can reduce 255 to:
% 10.07/2.92 | (313) $false
% 10.07/2.92 |
% 10.07/2.92 |-The branch is then unsatisfiable
% 10.07/2.92 |-Branch two:
% 10.07/2.92 | (435) ~ (all_0_96_96 = e12)
% 10.07/2.92 | (449) all_0_97_97 = e12
% 10.07/2.92 |
% 10.07/2.92 | From (449) and (134) follows:
% 10.07/2.92 | (450) h4(e12) = all_0_1_1
% 10.07/2.92 |
% 10.07/2.92 | Instantiating formula (49) with e12, all_0_1_1, e22 and discharging atoms h4(e12) = all_0_1_1, h4(e12) = e22, yields:
% 10.07/2.92 | (451) all_0_1_1 = e22
% 10.07/2.92 |
% 10.07/2.92 | Instantiating formula (49) with e12, all_0_3_3, all_0_1_1 and discharging atoms h4(e12) = all_0_1_1, h4(e12) = all_0_3_3, yields:
% 10.07/2.92 | (452) all_0_1_1 = all_0_3_3
% 10.07/2.92 |
% 10.07/2.92 | Instantiating formula (49) with e12, all_0_4_4, all_0_1_1 and discharging atoms h4(e12) = all_0_1_1, h4(e12) = all_0_4_4, yields:
% 10.07/2.92 | (453) all_0_1_1 = all_0_4_4
% 10.07/2.92 |
% 10.07/2.92 | Instantiating formula (49) with e11, all_0_0_0, e21 and discharging atoms h4(e11) = all_0_0_0, h4(e11) = e21, yields:
% 10.07/2.92 | (454) all_0_0_0 = e21
% 10.07/2.92 |
% 10.07/2.92 | Instantiating formula (49) with e11, all_0_6_6, all_0_0_0 and discharging atoms h4(e11) = all_0_0_0, h4(e11) = all_0_6_6, yields:
% 10.07/2.92 | (455) all_0_0_0 = all_0_6_6
% 10.07/2.92 |
% 10.07/2.92 | Instantiating formula (49) with e11, all_0_7_7, all_0_0_0 and discharging atoms h4(e11) = all_0_0_0, h4(e11) = all_0_7_7, yields:
% 10.07/2.92 | (456) all_0_0_0 = all_0_7_7
% 10.07/2.92 |
% 10.07/2.92 | Instantiating formula (49) with e10, all_0_2_2, e20 and discharging atoms h4(e10) = all_0_2_2, h4(e10) = e20, yields:
% 10.07/2.92 | (457) all_0_2_2 = e20
% 10.07/2.92 |
% 10.07/2.92 | Instantiating formula (49) with e10, all_0_5_5, all_0_2_2 and discharging atoms h4(e10) = all_0_2_2, h4(e10) = all_0_5_5, yields:
% 10.07/2.92 | (458) all_0_2_2 = all_0_5_5
% 10.07/2.92 |
% 10.07/2.92 | Instantiating formula (49) with e10, all_0_8_8, all_0_2_2 and discharging atoms h4(e10) = all_0_2_2, h4(e10) = all_0_8_8, yields:
% 10.07/2.92 | (459) all_0_2_2 = all_0_8_8
% 10.07/2.92 |
% 10.07/2.92 | Combining equations (454,455) yields a new equation:
% 10.07/2.92 | (460) all_0_6_6 = e21
% 10.07/2.92 |
% 10.07/2.92 | Combining equations (456,455) yields a new equation:
% 10.07/2.92 | (461) all_0_6_6 = all_0_7_7
% 10.07/2.92 |
% 10.07/2.92 | Combining equations (453,452) yields a new equation:
% 10.07/2.92 | (462) all_0_3_3 = all_0_4_4
% 10.07/2.92 |
% 10.07/2.92 | Combining equations (451,452) yields a new equation:
% 10.07/2.92 | (463) all_0_3_3 = e22
% 10.07/2.92 |
% 10.07/2.92 | Combining equations (459,458) yields a new equation:
% 10.07/2.92 | (464) all_0_5_5 = all_0_8_8
% 10.07/2.92 |
% 10.07/2.92 | Combining equations (457,458) yields a new equation:
% 10.07/2.92 | (465) all_0_5_5 = e20
% 10.07/2.92 |
% 10.07/2.92 | Combining equations (463,462) yields a new equation:
% 10.07/2.92 | (466) all_0_4_4 = e22
% 10.07/2.92 |
% 10.07/2.92 | Combining equations (465,464) yields a new equation:
% 10.07/2.92 | (467) all_0_8_8 = e20
% 10.07/2.92 |
% 10.07/2.92 | Combining equations (461,460) yields a new equation:
% 10.07/2.92 | (468) all_0_7_7 = e21
% 10.07/2.92 |
% 10.07/2.92 | Simplifying 468 yields:
% 10.07/2.92 | (469) all_0_7_7 = e21
% 10.07/2.92 |
% 10.07/2.92 | Combining equations (467,464) yields a new equation:
% 10.07/2.92 | (465) all_0_5_5 = e20
% 10.07/2.92 |
% 10.07/2.92 | Combining equations (466,462) yields a new equation:
% 10.07/2.92 | (463) all_0_3_3 = e22
% 10.07/2.92 |
% 10.07/2.92 | Combining equations (465,458) yields a new equation:
% 10.07/2.92 | (457) all_0_2_2 = e20
% 10.07/2.92 |
% 10.07/2.92 | Combining equations (463,452) yields a new equation:
% 10.07/2.92 | (451) all_0_1_1 = e22
% 10.07/2.92 |
% 10.07/2.92 | Combining equations (460,455) yields a new equation:
% 10.07/2.92 | (454) all_0_0_0 = e21
% 10.07/2.92 |
% 10.07/2.92 +-Applying beta-rule and splitting (32), into two cases.
% 10.07/2.92 |-Branch one:
% 10.07/2.92 | (475) ~ (all_0_0_0 = all_0_87_87)
% 10.07/2.92 |
% 10.07/2.92 | Equations (454,307) can reduce 475 to:
% 10.07/2.92 | (313) $false
% 10.07/2.92 |
% 10.07/2.92 |-The branch is then unsatisfiable
% 10.07/2.92 |-Branch two:
% 10.07/2.92 | (477) all_0_0_0 = all_0_87_87
% 10.07/2.92 | (478) ~ (all_0_1_1 = all_0_88_88) | ~ (all_0_2_2 = all_0_89_89) | ~ (all_0_3_3 = all_0_90_90) | ~ (all_0_4_4 = all_0_91_91) | ~ (all_0_5_5 = all_0_92_92) | ~ (all_0_6_6 = all_0_93_93) | ~ (all_0_7_7 = all_0_94_94) | ~ (all_0_8_8 = all_0_95_95)
% 10.07/2.92 |
% 10.07/2.92 +-Applying beta-rule and splitting (478), into two cases.
% 10.07/2.92 |-Branch one:
% 10.07/2.92 | (479) ~ (all_0_1_1 = all_0_88_88)
% 10.07/2.92 |
% 10.07/2.93 | Equations (451,302) can reduce 479 to:
% 10.07/2.93 | (313) $false
% 10.07/2.93 |
% 10.07/2.93 |-The branch is then unsatisfiable
% 10.07/2.93 |-Branch two:
% 10.07/2.93 | (481) all_0_1_1 = all_0_88_88
% 10.07/2.93 | (482) ~ (all_0_2_2 = all_0_89_89) | ~ (all_0_3_3 = all_0_90_90) | ~ (all_0_4_4 = all_0_91_91) | ~ (all_0_5_5 = all_0_92_92) | ~ (all_0_6_6 = all_0_93_93) | ~ (all_0_7_7 = all_0_94_94) | ~ (all_0_8_8 = all_0_95_95)
% 10.07/2.93 |
% 10.07/2.93 +-Applying beta-rule and splitting (482), into two cases.
% 10.07/2.93 |-Branch one:
% 10.07/2.93 | (483) ~ (all_0_2_2 = all_0_89_89)
% 10.07/2.93 |
% 10.07/2.93 | Equations (457,339) can reduce 483 to:
% 10.07/2.93 | (313) $false
% 10.07/2.93 |
% 10.07/2.93 |-The branch is then unsatisfiable
% 10.07/2.93 |-Branch two:
% 10.07/2.93 | (485) all_0_2_2 = all_0_89_89
% 10.07/2.93 | (486) ~ (all_0_3_3 = all_0_90_90) | ~ (all_0_4_4 = all_0_91_91) | ~ (all_0_5_5 = all_0_92_92) | ~ (all_0_6_6 = all_0_93_93) | ~ (all_0_7_7 = all_0_94_94) | ~ (all_0_8_8 = all_0_95_95)
% 10.07/2.93 |
% 10.07/2.93 +-Applying beta-rule and splitting (486), into two cases.
% 10.07/2.93 |-Branch one:
% 10.07/2.93 | (487) ~ (all_0_3_3 = all_0_90_90)
% 10.07/2.93 |
% 10.07/2.93 | Equations (463,376) can reduce 487 to:
% 10.07/2.93 | (313) $false
% 10.07/2.93 |
% 10.07/2.93 |-The branch is then unsatisfiable
% 10.07/2.93 |-Branch two:
% 10.07/2.93 | (489) all_0_3_3 = all_0_90_90
% 10.07/2.93 | (490) ~ (all_0_4_4 = all_0_91_91) | ~ (all_0_5_5 = all_0_92_92) | ~ (all_0_6_6 = all_0_93_93) | ~ (all_0_7_7 = all_0_94_94) | ~ (all_0_8_8 = all_0_95_95)
% 10.07/2.93 |
% 10.07/2.93 +-Applying beta-rule and splitting (490), into two cases.
% 10.07/2.93 |-Branch one:
% 10.07/2.93 | (491) ~ (all_0_4_4 = all_0_91_91)
% 10.07/2.93 |
% 10.07/2.93 | Equations (466,345) can reduce 491 to:
% 10.07/2.93 | (313) $false
% 10.07/2.93 |
% 10.07/2.93 |-The branch is then unsatisfiable
% 10.07/2.93 |-Branch two:
% 10.07/2.93 | (493) all_0_4_4 = all_0_91_91
% 10.07/2.93 | (494) ~ (all_0_5_5 = all_0_92_92) | ~ (all_0_6_6 = all_0_93_93) | ~ (all_0_7_7 = all_0_94_94) | ~ (all_0_8_8 = all_0_95_95)
% 10.07/2.93 |
% 10.07/2.93 +-Applying beta-rule and splitting (494), into two cases.
% 10.07/2.93 |-Branch one:
% 10.07/2.93 | (495) ~ (all_0_5_5 = all_0_92_92)
% 10.07/2.93 |
% 10.07/2.93 | Equations (465,360) can reduce 495 to:
% 10.07/2.93 | (313) $false
% 10.07/2.93 |
% 10.07/2.93 |-The branch is then unsatisfiable
% 10.07/2.93 |-Branch two:
% 10.07/2.93 | (497) all_0_5_5 = all_0_92_92
% 10.07/2.93 | (498) ~ (all_0_6_6 = all_0_93_93) | ~ (all_0_7_7 = all_0_94_94) | ~ (all_0_8_8 = all_0_95_95)
% 10.07/2.93 |
% 10.07/2.93 +-Applying beta-rule and splitting (498), into two cases.
% 10.07/2.93 |-Branch one:
% 10.07/2.93 | (499) ~ (all_0_6_6 = all_0_93_93)
% 10.07/2.93 |
% 10.07/2.93 | Equations (460,374) can reduce 499 to:
% 10.07/2.93 | (313) $false
% 10.07/2.93 |
% 10.07/2.93 |-The branch is then unsatisfiable
% 10.07/2.93 |-Branch two:
% 10.07/2.93 | (501) all_0_6_6 = all_0_93_93
% 10.07/2.93 | (502) ~ (all_0_7_7 = all_0_94_94) | ~ (all_0_8_8 = all_0_95_95)
% 10.07/2.93 |
% 10.07/2.93 +-Applying beta-rule and splitting (502), into two cases.
% 10.07/2.93 |-Branch one:
% 10.07/2.93 | (503) ~ (all_0_7_7 = all_0_94_94)
% 10.07/2.93 |
% 10.07/2.93 | Equations (469,312) can reduce 503 to:
% 10.07/2.93 | (313) $false
% 10.07/2.93 |
% 10.07/2.93 |-The branch is then unsatisfiable
% 10.07/2.93 |-Branch two:
% 10.07/2.93 | (505) all_0_7_7 = all_0_94_94
% 10.07/2.93 | (506) ~ (all_0_8_8 = all_0_95_95)
% 10.07/2.93 |
% 10.07/2.93 | Equations (467,366) can reduce 506 to:
% 10.07/2.93 | (313) $false
% 10.07/2.93 |
% 10.07/2.93 |-The branch is then unsatisfiable
% 10.07/2.93 |-Branch two:
% 10.07/2.93 | (508) ~ (all_0_96_96 = e11)
% 10.07/2.93 | (509) all_0_97_97 = e11
% 10.07/2.93 |
% 10.07/2.93 | Equations (509) can reduce 400 to:
% 10.07/2.93 | (313) $false
% 10.07/2.93 |
% 10.07/2.93 |-The branch is then unsatisfiable
% 10.07/2.93 |-Branch two:
% 10.07/2.93 | (511) ~ (all_0_98_98 = e10)
% 10.07/2.93 | (437) all_0_98_98 = e12
% 10.07/2.93 |
% 10.07/2.93 | Equations (437) can reduce 419 to:
% 10.07/2.93 | (313) $false
% 10.07/2.93 |
% 10.07/2.93 |-The branch is then unsatisfiable
% 10.07/2.93 |-Branch two:
% 10.07/2.93 | (514) ~ (all_0_101_101 = e10)
% 10.07/2.93 | (515) all_0_103_103 = e10
% 10.07/2.93 |
% 10.07/2.93 | Combining equations (399,515) yields a new equation:
% 10.07/2.93 | (516) e11 = e10
% 10.07/2.93 |
% 10.07/2.93 | Simplifying 516 yields:
% 10.07/2.93 | (517) e11 = e10
% 10.07/2.93 |
% 10.07/2.93 | Equations (517) can reduce 238 to:
% 10.07/2.93 | (313) $false
% 10.07/2.93 |
% 10.07/2.93 |-The branch is then unsatisfiable
% 10.07/2.93 |-Branch two:
% 10.07/2.93 | (519) ~ (all_0_99_99 = e12)
% 10.07/2.93 | (520) all_0_102_102 = e12
% 10.07/2.93 |
% 10.07/2.93 | Combining equations (414,520) yields a new equation:
% 10.07/2.93 | (433) e12 = e11
% 10.07/2.93 |
% 10.07/2.93 | Equations (433) can reduce 255 to:
% 10.07/2.93 | (313) $false
% 10.07/2.93 |
% 10.07/2.93 |-The branch is then unsatisfiable
% 10.07/2.93 |-Branch two:
% 10.07/2.93 | (523) ~ (all_0_102_102 = e11)
% 10.07/2.93 | (406) all_0_104_104 = e11
% 10.07/2.93 |
% 10.07/2.93 | Combining equations (409,406) yields a new equation:
% 10.07/2.93 | (517) e11 = e10
% 10.07/2.93 |
% 10.07/2.93 | Equations (517) can reduce 238 to:
% 10.07/2.93 | (313) $false
% 10.07/2.93 |
% 10.07/2.93 |-The branch is then unsatisfiable
% 10.07/2.93 |-Branch two:
% 10.07/2.93 | (527) ~ (all_0_103_103 = e11)
% 10.07/2.93 | (406) all_0_104_104 = e11
% 10.07/2.93 |
% 10.07/2.93 | Equations (406) can reduce 163 to:
% 10.07/2.93 | (523) ~ (all_0_102_102 = e11)
% 10.07/2.93 |
% 10.07/2.93 +-Applying beta-rule and splitting (146), into two cases.
% 10.07/2.93 |-Branch one:
% 10.07/2.93 | (402) ~ (all_0_104_104 = e11)
% 10.07/2.93 |
% 10.07/2.93 | Equations (406) can reduce 402 to:
% 10.07/2.93 | (313) $false
% 10.07/2.93 |
% 10.07/2.93 |-The branch is then unsatisfiable
% 10.07/2.93 |-Branch two:
% 10.07/2.93 | (406) all_0_104_104 = e11
% 10.07/2.93 | (515) all_0_103_103 = e10
% 10.07/2.93 |
% 10.07/2.93 | Equations (515) can reduce 124 to:
% 10.07/2.93 | (280) ~ (all_0_97_97 = e10)
% 10.07/2.93 |
% 10.07/2.93 | Equations (515) can reduce 37 to:
% 10.07/2.93 | (425) ~ (e12 = e10)
% 10.07/2.93 |
% 10.07/2.93 | Simplifying 425 yields:
% 10.07/2.93 | (121) ~ (e12 = e10)
% 10.07/2.93 |
% 10.07/2.93 +-Applying beta-rule and splitting (191), into two cases.
% 10.07/2.93 |-Branch one:
% 10.07/2.93 | (437) all_0_98_98 = e12
% 10.07/2.93 |
% 10.07/2.93 | Equations (437) can reduce 73 to:
% 10.07/2.93 | (435) ~ (all_0_96_96 = e12)
% 10.07/2.93 |
% 10.07/2.93 | Equations (437) can reduce 44 to:
% 10.07/2.93 | (539) ~ (all_0_99_99 = e12)
% 10.07/2.93 |
% 10.07/2.93 | Simplifying 539 yields:
% 10.07/2.93 | (519) ~ (all_0_99_99 = e12)
% 10.07/2.93 |
% 10.07/2.93 | Equations (437) can reduce 167 to:
% 10.07/2.93 | (255) ~ (e12 = e11)
% 10.07/2.93 |
% 10.07/2.93 +-Applying beta-rule and splitting (239), into two cases.
% 10.07/2.93 |-Branch one:
% 10.07/2.93 | (432) all_0_96_96 = e12
% 10.07/2.93 |
% 10.07/2.93 | Equations (432) can reduce 435 to:
% 10.07/2.93 | (313) $false
% 10.07/2.93 |
% 10.07/2.93 |-The branch is then unsatisfiable
% 10.07/2.93 |-Branch two:
% 10.07/2.93 | (435) ~ (all_0_96_96 = e12)
% 10.07/2.93 | (449) all_0_97_97 = e12
% 10.07/2.93 |
% 10.07/2.93 | Equations (449) can reduce 280 to:
% 10.07/2.93 | (121) ~ (e12 = e10)
% 10.07/2.93 |
% 10.07/2.93 +-Applying beta-rule and splitting (75), into two cases.
% 10.07/2.93 |-Branch one:
% 10.07/2.93 | (428) all_0_96_96 = e11
% 10.07/2.93 |
% 10.07/2.93 | Equations (428) can reduce 108 to:
% 10.07/2.93 | (429) ~ (all_0_100_100 = e11)
% 10.07/2.93 |
% 10.07/2.93 | Simplifying 429 yields:
% 10.07/2.93 | (430) ~ (all_0_100_100 = e11)
% 10.07/2.93 |
% 10.07/2.93 +-Applying beta-rule and splitting (169), into two cases.
% 10.07/2.93 |-Branch one:
% 10.07/2.93 | (418) all_0_99_99 = e12
% 10.07/2.93 |
% 10.07/2.94 | Equations (418) can reduce 519 to:
% 10.07/2.94 | (313) $false
% 10.07/2.94 |
% 10.07/2.94 |-The branch is then unsatisfiable
% 10.07/2.94 |-Branch two:
% 10.07/2.94 | (519) ~ (all_0_99_99 = e12)
% 10.07/2.94 | (520) all_0_102_102 = e12
% 10.07/2.94 |
% 10.07/2.94 | Equations (520) can reduce 266 to:
% 10.07/2.94 | (519) ~ (all_0_99_99 = e12)
% 10.07/2.94 |
% 10.07/2.94 | Equations (520) can reduce 222 to:
% 10.07/2.94 | (555) ~ (all_0_100_100 = e12)
% 10.07/2.94 |
% 10.07/2.94 | Equations (520) can reduce 89 to:
% 10.07/2.94 | (556) ~ (all_0_101_101 = e12)
% 10.07/2.94 |
% 10.07/2.94 +-Applying beta-rule and splitting (82), into two cases.
% 10.07/2.94 |-Branch one:
% 10.07/2.94 | (424) all_0_98_98 = e10
% 10.07/2.94 |
% 10.07/2.94 | Combining equations (437,424) yields a new equation:
% 10.07/2.94 | (438) e12 = e10
% 10.07/2.94 |
% 10.07/2.94 | Simplifying 438 yields:
% 10.07/2.94 | (439) e12 = e10
% 10.07/2.94 |
% 10.07/2.94 | Equations (439) can reduce 121 to:
% 10.07/2.94 | (313) $false
% 10.07/2.94 |
% 10.07/2.94 |-The branch is then unsatisfiable
% 10.07/2.94 |-Branch two:
% 10.07/2.94 | (511) ~ (all_0_98_98 = e10)
% 10.07/2.94 | (562) all_0_100_100 = e10
% 10.07/2.94 |
% 10.07/2.94 | Equations (562) can reduce 188 to:
% 10.07/2.94 | (563) ~ (all_0_101_101 = e10)
% 10.07/2.94 |
% 10.07/2.94 | Simplifying 563 yields:
% 10.07/2.94 | (514) ~ (all_0_101_101 = e10)
% 10.07/2.94 |
% 10.07/2.94 | Equations (562) can reduce 555 to:
% 10.07/2.94 | (425) ~ (e12 = e10)
% 10.07/2.94 |
% 10.07/2.94 | Simplifying 425 yields:
% 10.07/2.94 | (121) ~ (e12 = e10)
% 10.07/2.94 |
% 10.07/2.94 | Equations (562) can reduce 430 to:
% 10.07/2.94 | (411) ~ (e11 = e10)
% 10.07/2.94 |
% 10.07/2.94 | Simplifying 411 yields:
% 10.07/2.94 | (238) ~ (e11 = e10)
% 10.07/2.94 |
% 10.07/2.94 +-Applying beta-rule and splitting (183), into two cases.
% 10.07/2.94 |-Branch one:
% 10.07/2.94 | (569) all_0_99_99 = e10
% 10.07/2.94 |
% 10.07/2.94 | Equations (569) can reduce 519 to:
% 10.07/2.94 | (425) ~ (e12 = e10)
% 10.07/2.94 |
% 10.07/2.94 | Simplifying 425 yields:
% 10.07/2.94 | (121) ~ (e12 = e10)
% 10.07/2.94 |
% 10.07/2.94 +-Applying beta-rule and splitting (227), into two cases.
% 10.07/2.94 |-Branch one:
% 10.07/2.94 | (572) all_0_101_101 = e11
% 10.07/2.94 |
% 10.07/2.94 | Equations (572) can reduce 556 to:
% 10.07/2.94 | (403) ~ (e12 = e11)
% 10.07/2.94 |
% 10.07/2.94 | Simplifying 403 yields:
% 10.07/2.94 | (255) ~ (e12 = e11)
% 10.07/2.94 |
% 10.07/2.94 +-Applying beta-rule and splitting (287), into two cases.
% 10.07/2.94 |-Branch one:
% 10.07/2.94 | (509) all_0_97_97 = e11
% 10.07/2.94 |
% 10.07/2.94 | Combining equations (509,449) yields a new equation:
% 10.07/2.94 | (433) e12 = e11
% 10.07/2.94 |
% 10.07/2.94 | Equations (433) can reduce 255 to:
% 10.07/2.94 | (313) $false
% 10.07/2.94 |
% 10.07/2.94 |-The branch is then unsatisfiable
% 10.07/2.94 |-Branch two:
% 10.07/2.94 | (400) ~ (all_0_97_97 = e11)
% 10.07/2.94 | (579) all_0_96_96 = e12 | (all_0_99_99 = e10 & ~ (all_0_98_98 = e12) & ( ~ (all_0_100_100 = e11) | ~ (all_0_101_101 = e12))) | (all_0_100_100 = e12 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))) | (all_0_102_102 = e10 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))) | ( ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11)))
% 10.07/2.94 |
% 10.07/2.94 | Equations (449) can reduce 400 to:
% 10.07/2.94 | (255) ~ (e12 = e11)
% 10.07/2.94 |
% 10.07/2.94 +-Applying beta-rule and splitting (579), into two cases.
% 10.07/2.94 |-Branch one:
% 10.07/2.94 | (432) all_0_96_96 = e12
% 10.07/2.94 |
% 10.07/2.94 | Combining equations (432,428) yields a new equation:
% 10.07/2.94 | (582) e12 = e11
% 10.07/2.94 |
% 10.07/2.94 | Simplifying 582 yields:
% 10.07/2.94 | (433) e12 = e11
% 10.07/2.94 |
% 10.07/2.94 | Equations (433) can reduce 255 to:
% 10.07/2.94 | (313) $false
% 10.07/2.94 |
% 10.07/2.94 |-The branch is then unsatisfiable
% 10.07/2.94 |-Branch two:
% 10.07/2.94 | (435) ~ (all_0_96_96 = e12)
% 10.07/2.94 | (586) (all_0_99_99 = e10 & ~ (all_0_98_98 = e12) & ( ~ (all_0_100_100 = e11) | ~ (all_0_101_101 = e12))) | (all_0_100_100 = e12 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))) | (all_0_102_102 = e10 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))) | ( ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11)))
% 10.07/2.94 |
% 10.07/2.94 +-Applying beta-rule and splitting (586), into two cases.
% 10.07/2.94 |-Branch one:
% 10.07/2.94 | (587) (all_0_99_99 = e10 & ~ (all_0_98_98 = e12) & ( ~ (all_0_100_100 = e11) | ~ (all_0_101_101 = e12))) | (all_0_100_100 = e12 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))) | (all_0_102_102 = e10 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11)))
% 10.07/2.94 |
% 10.07/2.94 +-Applying beta-rule and splitting (587), into two cases.
% 10.07/2.94 |-Branch one:
% 10.07/2.94 | (588) (all_0_99_99 = e10 & ~ (all_0_98_98 = e12) & ( ~ (all_0_100_100 = e11) | ~ (all_0_101_101 = e12))) | (all_0_100_100 = e12 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11)))
% 10.07/2.94 |
% 10.07/2.94 +-Applying beta-rule and splitting (588), into two cases.
% 10.07/2.94 |-Branch one:
% 10.07/2.94 | (589) all_0_99_99 = e10 & ~ (all_0_98_98 = e12) & ( ~ (all_0_100_100 = e11) | ~ (all_0_101_101 = e12))
% 10.07/2.94 |
% 10.07/2.94 | Applying alpha-rule on (589) yields:
% 10.07/2.94 | (569) all_0_99_99 = e10
% 10.07/2.94 | (419) ~ (all_0_98_98 = e12)
% 10.07/2.94 | (592) ~ (all_0_100_100 = e11) | ~ (all_0_101_101 = e12)
% 10.07/2.94 |
% 10.07/2.94 | Equations (437) can reduce 419 to:
% 10.07/2.94 | (313) $false
% 10.07/2.94 |
% 10.07/2.94 |-The branch is then unsatisfiable
% 10.07/2.94 |-Branch two:
% 10.07/2.94 | (594) all_0_100_100 = e12 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))
% 10.07/2.94 |
% 10.07/2.94 | Applying alpha-rule on (594) yields:
% 10.07/2.94 | (442) all_0_100_100 = e12
% 10.07/2.94 | (596) ~ (all_0_101_101 = e11)
% 10.07/2.94 | (597) ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11)
% 10.07/2.94 |
% 10.07/2.94 | Combining equations (562,442) yields a new equation:
% 10.07/2.94 | (439) e12 = e10
% 10.07/2.94 |
% 10.07/2.94 | Equations (439) can reduce 121 to:
% 10.07/2.94 | (313) $false
% 10.07/2.94 |
% 10.07/2.94 |-The branch is then unsatisfiable
% 10.07/2.94 |-Branch two:
% 10.07/2.94 | (600) all_0_102_102 = e10 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))
% 10.07/2.94 |
% 10.07/2.94 | Applying alpha-rule on (600) yields:
% 10.07/2.94 | (601) all_0_102_102 = e10
% 10.07/2.94 | (596) ~ (all_0_101_101 = e11)
% 10.07/2.94 | (597) ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11)
% 10.07/2.94 |
% 10.07/2.94 | Combining equations (601,520) yields a new equation:
% 10.07/2.94 | (439) e12 = e10
% 10.07/2.94 |
% 10.07/2.94 | Equations (439) can reduce 121 to:
% 10.07/2.94 | (313) $false
% 10.07/2.94 |
% 10.07/2.94 |-The branch is then unsatisfiable
% 10.07/2.94 |-Branch two:
% 10.07/2.94 | (606) ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))
% 10.07/2.94 |
% 10.07/2.94 | Applying alpha-rule on (606) yields:
% 10.07/2.94 | (596) ~ (all_0_101_101 = e11)
% 10.07/2.94 | (597) ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11)
% 10.07/2.94 |
% 10.07/2.94 | Equations (572) can reduce 596 to:
% 10.07/2.94 | (313) $false
% 10.07/2.94 |
% 10.07/2.94 |-The branch is then unsatisfiable
% 10.07/2.94 |-Branch two:
% 10.07/2.94 | (596) ~ (all_0_101_101 = e11)
% 10.07/2.94 | (611) all_0_101_101 = e12 | all_0_101_101 = e10
% 10.07/2.94 |
% 10.07/2.94 +-Applying beta-rule and splitting (611), into two cases.
% 10.07/2.94 |-Branch one:
% 10.07/2.94 | (422) all_0_101_101 = e10
% 10.07/2.94 |
% 10.07/2.94 | Equations (422) can reduce 514 to:
% 10.07/2.94 | (313) $false
% 10.07/2.94 |
% 10.07/2.94 |-The branch is then unsatisfiable
% 10.07/2.94 |-Branch two:
% 10.07/2.94 | (514) ~ (all_0_101_101 = e10)
% 10.07/2.94 | (615) all_0_101_101 = e12
% 10.07/2.94 |
% 10.07/2.94 | Equations (615) can reduce 556 to:
% 10.07/2.94 | (313) $false
% 10.07/2.94 |
% 10.07/2.94 |-The branch is then unsatisfiable
% 10.07/2.94 |-Branch two:
% 10.07/2.94 | (617) ~ (all_0_99_99 = e10)
% 10.07/2.94 | (618) all_0_102_102 = e10 | all_0_104_104 = e10
% 10.07/2.94 |
% 10.07/2.94 +-Applying beta-rule and splitting (618), into two cases.
% 10.07/2.94 |-Branch one:
% 10.07/2.94 | (601) all_0_102_102 = e10
% 10.07/2.94 |
% 10.07/2.94 | Combining equations (601,520) yields a new equation:
% 10.07/2.94 | (439) e12 = e10
% 10.07/2.94 |
% 10.07/2.94 | Equations (439) can reduce 121 to:
% 10.07/2.95 | (313) $false
% 10.07/2.95 |
% 10.07/2.95 |-The branch is then unsatisfiable
% 10.07/2.95 |-Branch two:
% 10.07/2.95 | (410) ~ (all_0_102_102 = e10)
% 10.07/2.95 | (409) all_0_104_104 = e10
% 10.07/2.95 |
% 10.07/2.95 | Combining equations (406,409) yields a new equation:
% 10.07/2.95 | (516) e11 = e10
% 10.07/2.95 |
% 10.07/2.95 | Simplifying 516 yields:
% 10.07/2.95 | (517) e11 = e10
% 10.07/2.95 |
% 10.07/2.95 | Equations (517) can reduce 238 to:
% 10.07/2.95 | (313) $false
% 10.07/2.95 |
% 10.07/2.95 |-The branch is then unsatisfiable
% 10.07/2.95 |-Branch two:
% 10.07/2.95 | (508) ~ (all_0_96_96 = e11)
% 10.07/2.95 | (509) all_0_97_97 = e11
% 10.07/2.95 |
% 10.07/2.95 | Combining equations (509,449) yields a new equation:
% 10.07/2.95 | (433) e12 = e11
% 10.07/2.95 |
% 10.07/2.95 | Equations (433) can reduce 255 to:
% 10.07/2.95 | (313) $false
% 10.07/2.95 |
% 10.07/2.95 |-The branch is then unsatisfiable
% 10.07/2.95 |-Branch two:
% 10.07/2.95 | (419) ~ (all_0_98_98 = e12)
% 10.07/2.95 | (418) all_0_99_99 = e12
% 10.07/2.95 |
% 10.07/2.95 | Equations (418) can reduce 266 to:
% 10.07/2.95 | (633) ~ (all_0_102_102 = e12)
% 10.07/2.95 |
% 10.07/2.95 | Simplifying 633 yields:
% 10.07/2.95 | (634) ~ (all_0_102_102 = e12)
% 10.07/2.95 |
% 10.07/2.95 +-Applying beta-rule and splitting (183), into two cases.
% 10.07/2.95 |-Branch one:
% 10.07/2.95 | (569) all_0_99_99 = e10
% 10.07/2.95 |
% 10.07/2.95 | Combining equations (569,418) yields a new equation:
% 10.07/2.95 | (439) e12 = e10
% 10.07/2.95 |
% 10.07/2.95 | Equations (439) can reduce 121 to:
% 10.07/2.95 | (313) $false
% 10.07/2.95 |
% 10.07/2.95 |-The branch is then unsatisfiable
% 10.07/2.95 |-Branch two:
% 10.07/2.95 | (617) ~ (all_0_99_99 = e10)
% 10.07/2.95 | (618) all_0_102_102 = e10 | all_0_104_104 = e10
% 10.07/2.95 |
% 10.07/2.95 | Equations (418) can reduce 617 to:
% 10.07/2.95 | (121) ~ (e12 = e10)
% 10.07/2.95 |
% 10.07/2.95 +-Applying beta-rule and splitting (48), into two cases.
% 10.07/2.95 |-Branch one:
% 10.07/2.95 | (424) all_0_98_98 = e10
% 10.07/2.95 |
% 10.07/2.95 | Equations (424) can reduce 73 to:
% 10.07/2.95 | (23) ~ (all_0_96_96 = e10)
% 10.07/2.95 |
% 10.07/2.95 +-Applying beta-rule and splitting (128), into two cases.
% 10.07/2.95 |-Branch one:
% 10.07/2.95 | (414) all_0_102_102 = e11
% 10.07/2.95 |
% 10.07/2.95 | Equations (414) can reduce 523 to:
% 10.07/2.95 | (313) $false
% 10.07/2.95 |
% 10.07/2.95 |-The branch is then unsatisfiable
% 10.07/2.95 |-Branch two:
% 10.07/2.95 | (523) ~ (all_0_102_102 = e11)
% 10.07/2.95 | (646) all_0_102_102 = e12 | all_0_102_102 = e10
% 10.07/2.95 |
% 10.07/2.95 +-Applying beta-rule and splitting (646), into two cases.
% 10.07/2.95 |-Branch one:
% 10.07/2.95 | (601) all_0_102_102 = e10
% 10.07/2.95 |
% 10.07/2.95 | Equations (601) can reduce 222 to:
% 10.07/2.95 | (648) ~ (all_0_100_100 = e10)
% 10.07/2.95 |
% 10.07/2.95 | Equations (601) can reduce 523 to:
% 10.07/2.95 | (411) ~ (e11 = e10)
% 10.07/2.95 |
% 10.07/2.95 | Simplifying 411 yields:
% 10.07/2.95 | (238) ~ (e11 = e10)
% 10.07/2.95 |
% 10.07/2.95 +-Applying beta-rule and splitting (192), into two cases.
% 10.07/2.95 |-Branch one:
% 10.07/2.95 | (572) all_0_101_101 = e11
% 10.07/2.95 |
% 10.07/2.95 | Equations (572) can reduce 139 to:
% 10.07/2.95 | (400) ~ (all_0_97_97 = e11)
% 10.07/2.95 |
% 10.07/2.95 | Equations (572) can reduce 188 to:
% 10.07/2.95 | (430) ~ (all_0_100_100 = e11)
% 10.07/2.95 |
% 10.07/2.95 +-Applying beta-rule and splitting (197), into two cases.
% 10.07/2.95 |-Branch one:
% 10.07/2.95 | (654) all_0_100_100 = e11
% 10.07/2.95 |
% 10.07/2.95 | Equations (654) can reduce 430 to:
% 10.07/2.95 | (313) $false
% 10.07/2.95 |
% 10.07/2.95 |-The branch is then unsatisfiable
% 10.07/2.95 |-Branch two:
% 10.07/2.95 | (430) ~ (all_0_100_100 = e11)
% 10.07/2.95 | (657) all_0_100_100 = e12 | all_0_100_100 = e10
% 10.07/2.95 |
% 10.07/2.95 +-Applying beta-rule and splitting (657), into two cases.
% 10.07/2.95 |-Branch one:
% 10.07/2.95 | (562) all_0_100_100 = e10
% 10.07/2.95 |
% 10.07/2.95 | Equations (562) can reduce 648 to:
% 10.07/2.95 | (313) $false
% 10.07/2.95 |
% 10.07/2.95 |-The branch is then unsatisfiable
% 10.07/2.95 |-Branch two:
% 10.07/2.95 | (648) ~ (all_0_100_100 = e10)
% 10.07/2.95 | (442) all_0_100_100 = e12
% 10.07/2.95 |
% 10.07/2.95 | Equations (442) can reduce 108 to:
% 10.07/2.95 | (435) ~ (all_0_96_96 = e12)
% 10.07/2.95 |
% 10.07/2.95 +-Applying beta-rule and splitting (239), into two cases.
% 10.07/2.95 |-Branch one:
% 10.07/2.95 | (432) all_0_96_96 = e12
% 10.07/2.95 |
% 10.07/2.95 | Equations (432) can reduce 435 to:
% 10.07/2.95 | (313) $false
% 10.07/2.95 |
% 10.07/2.95 |-The branch is then unsatisfiable
% 10.07/2.95 |-Branch two:
% 10.07/2.95 | (435) ~ (all_0_96_96 = e12)
% 10.07/2.95 | (449) all_0_97_97 = e12
% 10.07/2.95 |
% 10.07/2.95 | Equations (449) can reduce 236 to:
% 10.07/2.95 | (435) ~ (all_0_96_96 = e12)
% 10.07/2.95 |
% 10.07/2.95 | Equations (449) can reduce 400 to:
% 10.07/2.95 | (255) ~ (e12 = e11)
% 10.07/2.95 |
% 10.07/2.95 | Equations (449) can reduce 280 to:
% 10.07/2.95 | (121) ~ (e12 = e10)
% 10.07/2.95 |
% 10.07/2.95 +-Applying beta-rule and splitting (75), into two cases.
% 10.07/2.95 |-Branch one:
% 10.07/2.95 | (428) all_0_96_96 = e11
% 10.07/2.95 |
% 10.07/2.95 | Equations (428) can reduce 435 to:
% 10.07/2.95 | (403) ~ (e12 = e11)
% 10.07/2.95 |
% 10.07/2.95 | Simplifying 403 yields:
% 10.07/2.95 | (255) ~ (e12 = e11)
% 10.07/2.95 |
% 10.07/2.95 +-Applying beta-rule and splitting (287), into two cases.
% 10.07/2.95 |-Branch one:
% 10.07/2.95 | (509) all_0_97_97 = e11
% 10.07/2.95 |
% 10.07/2.95 | Combining equations (509,449) yields a new equation:
% 10.07/2.95 | (433) e12 = e11
% 10.07/2.95 |
% 10.07/2.95 | Equations (433) can reduce 255 to:
% 10.07/2.95 | (313) $false
% 10.07/2.95 |
% 10.07/2.95 |-The branch is then unsatisfiable
% 10.07/2.95 |-Branch two:
% 10.07/2.95 | (400) ~ (all_0_97_97 = e11)
% 10.07/2.95 | (579) all_0_96_96 = e12 | (all_0_99_99 = e10 & ~ (all_0_98_98 = e12) & ( ~ (all_0_100_100 = e11) | ~ (all_0_101_101 = e12))) | (all_0_100_100 = e12 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))) | (all_0_102_102 = e10 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))) | ( ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11)))
% 10.07/2.95 |
% 10.07/2.95 | Equations (449) can reduce 400 to:
% 10.07/2.95 | (255) ~ (e12 = e11)
% 10.07/2.95 |
% 10.07/2.95 +-Applying beta-rule and splitting (579), into two cases.
% 10.07/2.95 |-Branch one:
% 10.07/2.95 | (432) all_0_96_96 = e12
% 10.07/2.95 |
% 10.07/2.95 | Combining equations (432,428) yields a new equation:
% 10.07/2.95 | (582) e12 = e11
% 10.07/2.95 |
% 10.07/2.95 | Simplifying 582 yields:
% 10.07/2.95 | (433) e12 = e11
% 10.07/2.95 |
% 10.07/2.95 | Equations (433) can reduce 255 to:
% 10.07/2.95 | (313) $false
% 10.07/2.95 |
% 10.07/2.95 |-The branch is then unsatisfiable
% 10.07/2.95 |-Branch two:
% 10.07/2.95 | (435) ~ (all_0_96_96 = e12)
% 10.07/2.95 | (586) (all_0_99_99 = e10 & ~ (all_0_98_98 = e12) & ( ~ (all_0_100_100 = e11) | ~ (all_0_101_101 = e12))) | (all_0_100_100 = e12 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))) | (all_0_102_102 = e10 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))) | ( ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11)))
% 10.07/2.95 |
% 10.07/2.95 +-Applying beta-rule and splitting (586), into two cases.
% 10.07/2.95 |-Branch one:
% 10.07/2.95 | (587) (all_0_99_99 = e10 & ~ (all_0_98_98 = e12) & ( ~ (all_0_100_100 = e11) | ~ (all_0_101_101 = e12))) | (all_0_100_100 = e12 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))) | (all_0_102_102 = e10 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11)))
% 10.07/2.95 |
% 10.07/2.95 +-Applying beta-rule and splitting (587), into two cases.
% 10.07/2.95 |-Branch one:
% 10.07/2.95 | (588) (all_0_99_99 = e10 & ~ (all_0_98_98 = e12) & ( ~ (all_0_100_100 = e11) | ~ (all_0_101_101 = e12))) | (all_0_100_100 = e12 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11)))
% 10.07/2.95 |
% 10.07/2.95 +-Applying beta-rule and splitting (588), into two cases.
% 10.07/2.95 |-Branch one:
% 10.07/2.95 | (589) all_0_99_99 = e10 & ~ (all_0_98_98 = e12) & ( ~ (all_0_100_100 = e11) | ~ (all_0_101_101 = e12))
% 10.07/2.95 |
% 10.07/2.95 | Applying alpha-rule on (589) yields:
% 10.07/2.95 | (569) all_0_99_99 = e10
% 10.07/2.95 | (419) ~ (all_0_98_98 = e12)
% 10.07/2.95 | (592) ~ (all_0_100_100 = e11) | ~ (all_0_101_101 = e12)
% 10.07/2.95 |
% 10.07/2.95 | Combining equations (569,418) yields a new equation:
% 10.07/2.95 | (439) e12 = e10
% 10.07/2.95 |
% 10.07/2.95 | Equations (439) can reduce 121 to:
% 10.07/2.95 | (313) $false
% 10.07/2.95 |
% 10.07/2.95 |-The branch is then unsatisfiable
% 10.07/2.95 |-Branch two:
% 10.07/2.95 | (594) all_0_100_100 = e12 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))
% 10.07/2.95 |
% 10.07/2.95 | Applying alpha-rule on (594) yields:
% 10.07/2.96 | (442) all_0_100_100 = e12
% 10.07/2.96 | (596) ~ (all_0_101_101 = e11)
% 10.07/2.96 | (597) ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11)
% 10.07/2.96 |
% 10.07/2.96 | Equations (572) can reduce 596 to:
% 10.07/2.96 | (313) $false
% 10.07/2.96 |
% 10.07/2.96 |-The branch is then unsatisfiable
% 10.07/2.96 |-Branch two:
% 10.07/2.96 | (600) all_0_102_102 = e10 & ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))
% 10.07/2.96 |
% 10.07/2.96 | Applying alpha-rule on (600) yields:
% 10.07/2.96 | (601) all_0_102_102 = e10
% 10.07/2.96 | (596) ~ (all_0_101_101 = e11)
% 10.07/2.96 | (597) ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11)
% 10.07/2.96 |
% 10.07/2.96 | Equations (572) can reduce 596 to:
% 10.07/2.96 | (313) $false
% 10.07/2.96 |
% 10.07/2.96 |-The branch is then unsatisfiable
% 10.07/2.96 |-Branch two:
% 10.07/2.96 | (606) ~ (all_0_101_101 = e11) & ( ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11))
% 10.07/2.96 |
% 10.07/2.96 | Applying alpha-rule on (606) yields:
% 10.07/2.96 | (596) ~ (all_0_101_101 = e11)
% 10.07/2.96 | (597) ~ (all_0_103_103 = e10) | ~ (all_0_104_104 = e11)
% 10.07/2.96 |
% 10.07/2.96 | Equations (572) can reduce 596 to:
% 10.07/2.96 | (313) $false
% 10.07/2.96 |
% 10.07/2.96 |-The branch is then unsatisfiable
% 10.07/2.96 |-Branch two:
% 10.07/2.96 | (508) ~ (all_0_96_96 = e11)
% 10.07/2.96 | (509) all_0_97_97 = e11
% 10.07/2.96 |
% 10.07/2.96 | Combining equations (509,449) yields a new equation:
% 10.07/2.96 | (433) e12 = e11
% 10.07/2.96 |
% 10.07/2.96 | Equations (433) can reduce 255 to:
% 10.07/2.96 | (313) $false
% 10.07/2.96 |
% 10.07/2.96 |-The branch is then unsatisfiable
% 10.07/2.96 |-Branch two:
% 10.07/2.96 | (596) ~ (all_0_101_101 = e11)
% 10.55/2.96 | (712) all_0_98_98 = e12 | all_0_104_104 = e10
% 10.55/2.96 |
% 10.55/2.96 +-Applying beta-rule and splitting (79), into two cases.
% 10.55/2.96 |-Branch one:
% 10.55/2.96 | (509) all_0_97_97 = e11
% 10.55/2.96 |
% 10.55/2.96 | Equations (509) can reduce 236 to:
% 10.55/2.96 | (508) ~ (all_0_96_96 = e11)
% 10.55/2.96 |
% 10.55/2.96 +-Applying beta-rule and splitting (92), into two cases.
% 10.55/2.96 |-Branch one:
% 10.55/2.96 | (428) all_0_96_96 = e11
% 10.55/2.96 |
% 10.55/2.96 | Equations (428) can reduce 508 to:
% 10.55/2.96 | (313) $false
% 10.55/2.96 |
% 10.55/2.96 |-The branch is then unsatisfiable
% 10.55/2.96 |-Branch two:
% 10.55/2.96 | (508) ~ (all_0_96_96 = e11)
% 10.55/2.96 | (654) all_0_100_100 = e11
% 10.55/2.96 |
% 10.55/2.96 | Equations (654) can reduce 108 to:
% 10.55/2.96 | (508) ~ (all_0_96_96 = e11)
% 10.55/2.96 |
% 10.55/2.96 | Equations (654) can reduce 648 to:
% 10.55/2.96 | (238) ~ (e11 = e10)
% 10.55/2.96 |
% 10.55/2.96 +-Applying beta-rule and splitting (52), into two cases.
% 10.55/2.96 |-Branch one:
% 10.55/2.96 | (428) all_0_96_96 = e11
% 10.55/2.96 |
% 10.55/2.96 | Equations (428) can reduce 508 to:
% 10.55/2.96 | (313) $false
% 10.55/2.96 |
% 10.55/2.96 |-The branch is then unsatisfiable
% 10.55/2.96 |-Branch two:
% 10.55/2.96 | (508) ~ (all_0_96_96 = e11)
% 10.55/2.96 | (432) all_0_96_96 = e12
% 10.55/2.96 |
% 10.55/2.96 | Equations (432) can reduce 23 to:
% 10.55/2.96 | (121) ~ (e12 = e10)
% 10.55/2.96 |
% 10.55/2.96 +-Applying beta-rule and splitting (712), into two cases.
% 10.55/2.96 |-Branch one:
% 10.55/2.96 | (409) all_0_104_104 = e10
% 10.55/2.96 |
% 10.55/2.96 | Combining equations (409,406) yields a new equation:
% 10.55/2.96 | (517) e11 = e10
% 10.55/2.96 |
% 10.55/2.96 | Equations (517) can reduce 238 to:
% 10.55/2.96 | (313) $false
% 10.55/2.96 |
% 10.55/2.96 |-The branch is then unsatisfiable
% 10.55/2.96 |-Branch two:
% 10.55/2.96 | (729) ~ (all_0_104_104 = e10)
% 10.55/2.96 | (437) all_0_98_98 = e12
% 10.55/2.96 |
% 10.55/2.96 | Combining equations (424,437) yields a new equation:
% 10.55/2.96 | (439) e12 = e10
% 10.55/2.96 |
% 10.55/2.96 | Equations (439) can reduce 121 to:
% 10.55/2.96 | (313) $false
% 10.55/2.96 |
% 10.55/2.96 |-The branch is then unsatisfiable
% 10.55/2.96 |-Branch two:
% 10.55/2.96 | (400) ~ (all_0_97_97 = e11)
% 10.55/2.96 | (734) all_0_101_101 = e11 | all_0_103_103 = e11
% 10.55/2.96 |
% 10.55/2.96 +-Applying beta-rule and splitting (734), into two cases.
% 10.55/2.96 |-Branch one:
% 10.55/2.96 | (572) all_0_101_101 = e11
% 10.55/2.96 |
% 10.55/2.96 | Equations (572) can reduce 596 to:
% 10.55/2.96 | (313) $false
% 10.55/2.96 |
% 10.55/2.96 |-The branch is then unsatisfiable
% 10.55/2.96 |-Branch two:
% 10.55/2.96 | (596) ~ (all_0_101_101 = e11)
% 10.55/2.96 | (399) all_0_103_103 = e11
% 10.55/2.96 |
% 10.55/2.96 | Combining equations (515,399) yields a new equation:
% 10.55/2.96 | (517) e11 = e10
% 10.55/2.96 |
% 10.55/2.96 | Equations (517) can reduce 238 to:
% 10.55/2.96 | (313) $false
% 10.55/2.96 |
% 10.55/2.96 |-The branch is then unsatisfiable
% 10.55/2.96 |-Branch two:
% 10.55/2.96 | (410) ~ (all_0_102_102 = e10)
% 10.55/2.96 | (520) all_0_102_102 = e12
% 10.55/2.96 |
% 10.55/2.96 | Equations (520) can reduce 634 to:
% 10.55/2.96 | (313) $false
% 10.55/2.96 |
% 10.55/2.96 |-The branch is then unsatisfiable
% 10.55/2.96 |-Branch two:
% 10.55/2.96 | (511) ~ (all_0_98_98 = e10)
% 10.55/2.96 | (569) all_0_99_99 = e10
% 10.55/2.96 |
% 10.55/2.96 | Combining equations (569,418) yields a new equation:
% 10.55/2.96 | (439) e12 = e10
% 10.55/2.96 |
% 10.55/2.96 | Equations (439) can reduce 121 to:
% 10.55/2.96 | (313) $false
% 10.55/2.96 |
% 10.55/2.96 |-The branch is then unsatisfiable
% 10.55/2.96 |-Branch two:
% 10.55/2.96 | (748) ~ (all_0_91_91 = e22)
% 10.55/2.96 | (749) all_0_92_92 = e22 | all_0_93_93 = e22
% 10.55/2.96 |
% 10.55/2.96 +-Applying beta-rule and splitting (749), into two cases.
% 10.55/2.96 |-Branch one:
% 10.55/2.96 | (363) all_0_92_92 = e22
% 10.55/2.96 |
% 10.55/2.96 | Combining equations (360,363) yields a new equation:
% 10.55/2.96 | (751) e22 = e20
% 10.55/2.96 |
% 10.55/2.96 | Equations (751) can reduce 87 to:
% 10.55/2.96 | (313) $false
% 10.55/2.96 |
% 10.55/2.96 |-The branch is then unsatisfiable
% 10.55/2.96 |-Branch two:
% 10.55/2.96 | (301) ~ (all_0_92_92 = e22)
% 10.55/2.96 | (754) all_0_93_93 = e22
% 10.55/2.96 |
% 10.55/2.96 | Combining equations (374,754) yields a new equation:
% 10.55/2.96 | (322) e22 = e21
% 10.55/2.96 |
% 10.55/2.96 | Equations (322) can reduce 195 to:
% 10.55/2.96 | (313) $false
% 10.55/2.96 |
% 10.55/2.96 |-The branch is then unsatisfiable
% 10.55/2.96 |-Branch two:
% 10.55/2.96 | (316) ~ (all_0_92_92 = e20)
% 10.55/2.96 | (350) all_0_93_93 = e20
% 10.55/2.96 |
% 10.55/2.96 | Combining equations (374,350) yields a new equation:
% 10.55/2.96 | (759) e21 = e20
% 10.55/2.96 |
% 10.55/2.96 | Simplifying 759 yields:
% 10.55/2.96 | (760) e21 = e20
% 10.55/2.96 |
% 10.55/2.96 | Equations (760) can reduce 263 to:
% 10.55/2.96 | (313) $false
% 10.55/2.96 |
% 10.55/2.96 |-The branch is then unsatisfiable
% 10.55/2.96 |-Branch two:
% 10.55/2.96 | (338) ~ (all_0_89_89 = e20)
% 10.55/2.96 | (342) all_0_89_89 = e22
% 10.55/2.96 |
% 10.55/2.96 | Equations (342) can reduce 336 to:
% 10.55/2.96 | (313) $false
% 10.55/2.96 |
% 10.55/2.96 |-The branch is then unsatisfiable
% 10.55/2.97 |-Branch two:
% 10.55/2.97 | (765) ~ (all_0_90_90 = e22)
% 10.55/2.97 | (754) all_0_93_93 = e22
% 10.55/2.97 |
% 10.55/2.97 | Combining equations (754,374) yields a new equation:
% 10.55/2.97 | (321) e22 = e21
% 10.55/2.97 |
% 10.55/2.97 | Simplifying 321 yields:
% 10.55/2.97 | (322) e22 = e21
% 10.55/2.97 |
% 10.55/2.97 | Equations (322) can reduce 195 to:
% 10.55/2.97 | (313) $false
% 10.55/2.97 |
% 10.55/2.97 |-The branch is then unsatisfiable
% 10.55/2.97 |-Branch two:
% 10.55/2.97 | (770) ~ (all_0_93_93 = e21)
% 10.55/2.97 | (310) all_0_95_95 = e21
% 10.55/2.97 |
% 10.55/2.97 | Combining equations (310,366) yields a new equation:
% 10.55/2.97 | (759) e21 = e20
% 10.55/2.97 |
% 10.55/2.97 | Simplifying 759 yields:
% 10.55/2.97 | (760) e21 = e20
% 10.55/2.97 |
% 10.55/2.97 | Equations (760) can reduce 263 to:
% 10.55/2.97 | (313) $false
% 10.55/2.97 |
% 10.55/2.97 |-The branch is then unsatisfiable
% 10.55/2.97 |-Branch two:
% 10.55/2.97 | (311) ~ (all_0_94_94 = e21)
% 10.55/2.97 | (310) all_0_95_95 = e21
% 10.55/2.97 |
% 10.55/2.97 | Combining equations (310,366) yields a new equation:
% 10.55/2.97 | (759) e21 = e20
% 10.55/2.97 |
% 10.55/2.97 | Simplifying 759 yields:
% 10.55/2.97 | (760) e21 = e20
% 10.55/2.97 |
% 10.55/2.97 | Equations (760) can reduce 263 to:
% 10.55/2.97 | (313) $false
% 10.55/2.97 |
% 10.55/2.97 |-The branch is then unsatisfiable
% 10.55/2.97 |-Branch two:
% 10.55/2.97 | (780) ~ (all_0_87_87 = e21)
% 10.55/2.97 | (320) all_0_88_88 = e21
% 10.55/2.97 |
% 10.55/2.97 | Combining equations (302,320) yields a new equation:
% 10.55/2.97 | (321) e22 = e21
% 10.55/2.97 |
% 10.55/2.97 | Simplifying 321 yields:
% 10.55/2.97 | (322) e22 = e21
% 10.55/2.97 |
% 10.55/2.97 | Equations (322) can reduce 195 to:
% 10.55/2.97 | (313) $false
% 10.55/2.97 |
% 10.55/2.97 |-The branch is then unsatisfiable
% 10.55/2.97 |-Branch two:
% 10.55/2.97 | (785) ~ (all_0_88_88 = e22)
% 10.55/2.97 | (363) all_0_92_92 = e22
% 10.55/2.97 |
% 10.55/2.97 | Equations (363) can reduce 301 to:
% 10.55/2.97 | (313) $false
% 10.55/2.97 |
% 10.55/2.97 |-The branch is then unsatisfiable
% 10.55/2.97 |-Branch two:
% 10.55/2.97 | (363) all_0_92_92 = e22
% 10.55/2.97 | (789) all_0_91_91 = e21
% 10.55/2.97 |
% 10.55/2.97 | Equations (789) can reduce 13 to:
% 10.55/2.97 | (780) ~ (all_0_87_87 = e21)
% 10.55/2.97 |
% 10.55/2.97 | Equations (789) can reduce 297 to:
% 10.55/2.97 | (247) ~ (all_0_89_89 = e21)
% 10.55/2.97 |
% 10.55/2.97 | Equations (363) can reduce 136 to:
% 10.55/2.97 | (305) ~ (all_0_94_94 = e22)
% 10.55/2.97 |
% 10.55/2.97 | Simplifying 305 yields:
% 10.55/2.97 | (125) ~ (all_0_94_94 = e22)
% 10.55/2.97 |
% 10.55/2.97 +-Applying beta-rule and splitting (129), into two cases.
% 10.55/2.97 |-Branch one:
% 10.55/2.97 | (307) all_0_87_87 = e21
% 10.55/2.97 |
% 10.55/2.97 | Equations (307) can reduce 780 to:
% 10.55/2.97 | (313) $false
% 10.55/2.97 |
% 10.55/2.97 |-The branch is then unsatisfiable
% 10.55/2.97 |-Branch two:
% 10.55/2.97 | (780) ~ (all_0_87_87 = e21)
% 10.55/2.97 | (327) all_0_87_87 = e22
% 10.55/2.97 |
% 10.55/2.97 | Equations (327) can reduce 135 to:
% 10.55/2.97 | (798) ~ (all_0_88_88 = e22)
% 10.55/2.97 |
% 10.55/2.97 | Simplifying 798 yields:
% 10.55/2.97 | (785) ~ (all_0_88_88 = e22)
% 10.55/2.97 |
% 10.55/2.97 | Equations (327) can reduce 38 to:
% 10.55/2.97 | (800) ~ (all_0_89_89 = e22)
% 10.55/2.97 |
% 10.55/2.97 | Simplifying 800 yields:
% 10.55/2.97 | (336) ~ (all_0_89_89 = e22)
% 10.55/2.97 |
% 10.55/2.97 +-Applying beta-rule and splitting (257), into two cases.
% 10.55/2.97 |-Branch one:
% 10.55/2.97 | (342) all_0_89_89 = e22
% 10.55/2.97 |
% 10.55/2.97 | Equations (342) can reduce 336 to:
% 10.55/2.97 | (313) $false
% 10.55/2.97 |
% 10.55/2.97 |-The branch is then unsatisfiable
% 10.55/2.97 |-Branch two:
% 10.55/2.97 | (336) ~ (all_0_89_89 = e22)
% 10.55/2.97 | (376) all_0_90_90 = e22
% 10.55/2.97 |
% 10.55/2.97 | Equations (376) can reduce 61 to:
% 10.55/2.97 | (336) ~ (all_0_89_89 = e22)
% 10.55/2.97 |
% 10.55/2.97 +-Applying beta-rule and splitting (55), into two cases.
% 10.55/2.97 |-Branch one:
% 10.55/2.97 | (339) all_0_89_89 = e20
% 10.55/2.97 |
% 10.55/2.97 | Equations (339) can reduce 336 to:
% 10.55/2.97 | (389) ~ (e22 = e20)
% 10.55/2.97 |
% 10.55/2.97 | Simplifying 389 yields:
% 10.55/2.97 | (87) ~ (e22 = e20)
% 10.55/2.97 |
% 10.55/2.97 | Equations (339) can reduce 247 to:
% 10.55/2.97 | (368) ~ (e21 = e20)
% 10.55/2.97 |
% 10.55/2.97 | Simplifying 368 yields:
% 10.55/2.97 | (263) ~ (e21 = e20)
% 10.55/2.97 |
% 10.55/2.97 +-Applying beta-rule and splitting (15), into two cases.
% 10.55/2.97 |-Branch one:
% 10.55/2.97 | (384) all_0_91_91 = e20
% 10.55/2.97 |
% 10.55/2.97 | Combining equations (384,789) yields a new equation:
% 10.55/2.97 | (760) e21 = e20
% 10.55/2.97 |
% 10.55/2.97 | Equations (760) can reduce 263 to:
% 10.55/2.97 | (313) $false
% 10.55/2.97 |
% 10.55/2.97 |-The branch is then unsatisfiable
% 10.55/2.97 |-Branch two:
% 10.55/2.97 | (381) ~ (all_0_91_91 = e20)
% 10.55/2.97 | (387) all_0_92_92 = e20 | all_0_93_93 = e20
% 10.55/2.97 |
% 10.55/2.97 +-Applying beta-rule and splitting (387), into two cases.
% 10.55/2.97 |-Branch one:
% 10.55/2.97 | (360) all_0_92_92 = e20
% 10.55/2.97 |
% 10.55/2.97 | Combining equations (363,360) yields a new equation:
% 10.55/2.97 | (818) e22 = e20
% 10.55/2.97 |
% 10.55/2.97 | Simplifying 818 yields:
% 10.55/2.97 | (751) e22 = e20
% 10.55/2.97 |
% 10.55/2.97 | Equations (751) can reduce 87 to:
% 10.55/2.97 | (313) $false
% 10.55/2.97 |
% 10.55/2.97 |-The branch is then unsatisfiable
% 10.55/2.97 |-Branch two:
% 10.55/2.97 | (316) ~ (all_0_92_92 = e20)
% 10.55/2.97 | (350) all_0_93_93 = e20
% 10.55/2.97 |
% 10.55/2.97 | Equations (350) can reduce 18 to:
% 10.55/2.97 | (823) ~ (all_0_95_95 = e20)
% 10.55/2.97 |
% 10.55/2.97 | Simplifying 823 yields:
% 10.55/2.97 | (824) ~ (all_0_95_95 = e20)
% 10.55/2.97 |
% 10.55/2.97 +-Applying beta-rule and splitting (80), into two cases.
% 10.55/2.97 |-Branch one:
% 10.55/2.97 | (310) all_0_95_95 = e21
% 10.55/2.97 |
% 10.55/2.97 +-Applying beta-rule and splitting (186), into two cases.
% 10.55/2.97 |-Branch one:
% 10.55/2.97 | (365) ~ (all_0_95_95 = e21)
% 10.55/2.97 |
% 10.55/2.97 | Equations (310) can reduce 365 to:
% 10.55/2.97 | (313) $false
% 10.55/2.97 |
% 10.55/2.97 |-The branch is then unsatisfiable
% 10.55/2.97 |-Branch two:
% 10.55/2.97 | (310) all_0_95_95 = e21
% 10.55/2.97 | (315) all_0_94_94 = e20
% 10.55/2.97 |
% 10.55/2.97 | Equations (315) can reduce 68 to:
% 10.55/2.97 | (100) ~ (all_0_88_88 = e20)
% 10.55/2.97 |
% 10.55/2.97 | Equations (315) can reduce 125 to:
% 10.55/2.97 | (389) ~ (e22 = e20)
% 10.55/2.97 |
% 10.55/2.97 | Simplifying 389 yields:
% 10.55/2.97 | (87) ~ (e22 = e20)
% 10.55/2.97 |
% 10.55/2.97 +-Applying beta-rule and splitting (160), into two cases.
% 10.55/2.97 |-Branch one:
% 10.55/2.97 | (320) all_0_88_88 = e21
% 10.55/2.97 |
% 10.55/2.97 | Equations (320) can reduce 785 to:
% 10.55/2.97 | (318) ~ (e22 = e21)
% 10.55/2.97 |
% 10.55/2.97 | Simplifying 318 yields:
% 10.55/2.97 | (195) ~ (e22 = e21)
% 10.55/2.97 |
% 10.55/2.97 | Equations (320) can reduce 100 to:
% 10.55/2.97 | (263) ~ (e21 = e20)
% 10.55/2.97 |
% 10.55/2.97 +-Applying beta-rule and splitting (88), into two cases.
% 10.55/2.97 |-Branch one:
% 10.55/2.97 | (317) all_0_92_92 = e21
% 10.55/2.97 |
% 10.55/2.97 | Combining equations (363,317) yields a new equation:
% 10.55/2.97 | (321) e22 = e21
% 10.55/2.97 |
% 10.55/2.97 | Simplifying 321 yields:
% 10.55/2.97 | (322) e22 = e21
% 10.55/2.97 |
% 10.55/2.97 | Equations (322) can reduce 195 to:
% 10.55/2.97 | (313) $false
% 10.55/2.97 |
% 10.55/2.97 |-The branch is then unsatisfiable
% 10.55/2.97 |-Branch two:
% 10.55/2.97 | (346) ~ (all_0_92_92 = e21)
% 10.55/2.97 | (842) all_0_89_89 = e22 | all_0_95_95 = e20
% 10.55/2.97 |
% 10.55/2.97 +-Applying beta-rule and splitting (842), into two cases.
% 10.55/2.97 |-Branch one:
% 10.55/2.97 | (366) all_0_95_95 = e20
% 10.55/2.97 |
% 10.55/2.97 | Combining equations (366,310) yields a new equation:
% 10.55/2.97 | (760) e21 = e20
% 10.55/2.97 |
% 10.55/2.97 | Equations (760) can reduce 263 to:
% 10.55/2.97 | (313) $false
% 10.55/2.97 |
% 10.55/2.97 |-The branch is then unsatisfiable
% 10.55/2.97 |-Branch two:
% 10.55/2.97 | (824) ~ (all_0_95_95 = e20)
% 10.55/2.97 | (342) all_0_89_89 = e22
% 10.55/2.97 |
% 10.55/2.97 | Combining equations (339,342) yields a new equation:
% 10.55/2.97 | (751) e22 = e20
% 10.55/2.97 |
% 10.55/2.97 | Equations (751) can reduce 87 to:
% 10.55/2.97 | (313) $false
% 10.55/2.97 |
% 10.55/2.97 |-The branch is then unsatisfiable
% 10.55/2.97 |-Branch two:
% 10.55/2.97 | (324) ~ (all_0_88_88 = e21)
% 10.55/2.97 | (302) all_0_88_88 = e22
% 10.55/2.97 |
% 10.55/2.97 | Equations (302) can reduce 785 to:
% 10.55/2.97 | (313) $false
% 10.55/2.97 |
% 10.55/2.97 |-The branch is then unsatisfiable
% 10.55/2.97 |-Branch two:
% 10.55/2.97 | (365) ~ (all_0_95_95 = e21)
% 10.55/2.97 | (366) all_0_95_95 = e20
% 10.55/2.97 |
% 10.55/2.98 | Equations (366) can reduce 824 to:
% 10.55/2.98 | (313) $false
% 10.55/2.98 |
% 10.55/2.98 |-The branch is then unsatisfiable
% 10.55/2.98 |-Branch two:
% 10.55/2.98 | (338) ~ (all_0_89_89 = e20)
% 10.55/2.98 | (384) all_0_91_91 = e20
% 10.55/2.98 |
% 10.55/2.98 | Combining equations (789,384) yields a new equation:
% 10.55/2.98 | (759) e21 = e20
% 10.55/2.98 |
% 10.55/2.98 | Simplifying 759 yields:
% 10.55/2.98 | (760) e21 = e20
% 10.55/2.98 |
% 10.55/2.98 | Equations (760) can reduce 263 to:
% 10.55/2.98 | (313) $false
% 10.55/2.98 |
% 10.55/2.98 |-The branch is then unsatisfiable
% 10.55/2.98 % SZS output end Proof for theBenchmark
% 10.55/2.98
% 10.55/2.98 2391ms
%------------------------------------------------------------------------------